Uneven VTF on different part of same LP

Dear experts,
When i checked the VTF usually I do it on one position only, but just did check on 2 position (the first track area, and last track area near spindle) and found that the later position has 0.04 gr heavier.
Further I put bubble level on the tonearm's bearing housing, it showed unlevel (the turntable itself is perfecty even) which might cause the above issue.

While soundwise it doesn' bother me (yet), should I worry in long run?
As my tonearm (ortofon as212) has gimbaled bearing, will unipivot tonearm solve the issue?
Lastly, is it time to replace tonearm?

Thanks in advance for the advice
Not much to add, except:
1. Check the accuracy and precision of the balance. If it's accurate to within +/- 0.02 gms, a difference of 0.04 could be within spec (0.02 gms on either side of the actual value) and actually indicate the same "real" value.
2. Along the same lines, do you know how the balance's read-out handles intermediate values? A displayed value of 1.704 might be 1.7044, 1.705 or 1.706, depending on how it rounds. It might even be as much as 1.709 if it just truncates the last digit. Combining rounding and precision issues could make finding whether there is a "real" or only an "apparent" issue difficult to sort out.
3. How many measurements did you make? It would not be unusual to have some variation when you are looking at such small VTF differences. Any good scientist using an analytical balance would take several readings. Given the potential for either explanation 1 or 2 to be an issue, I would take 5 or 10 separate readings at each location, average them, and then compare the two averages. If the variation between the highest and lowest of a set of readings is greater than the specs for the device, then it might just indicate a problem w the device. In that case, I'd borrow another balance and re-check.
4. Are you able to take the measurement with the balance in the same horizontal plane at both places along the tracing arc? If not, that could also introduce some error into the readings.

Given the relatively poor quality control we have all seen in manufacturing over the last 20 years or so, I would not jump to any conclusions. I'm not trying to make you crazy, but you should be aware that there are a number of reasons why the difference you reported may not be "real". Before you tear your hair out looking for a problem that might exist, or you pay major $ for a rebuild or a new arm, you'd be well advised to sort through the "error tree" on this. Personally, I would be more concerned with the out of level issue, but of course some of the same questions would apply to that measuring device. For example, how "flat" is the case of the level itself. Or for that matter, how "flat" are the surfaces of the bearing housing and platter that you are placing the bubble on?

Maybe the easiest solution is to ask Dougdeacon to come over for a listen; he can hear differences of 0.01 gms (no data that I aware of regarding how many degrees off nominal his ears can discern). Or you could look to address all of the reasonably likely causes of your observations. If you find none, and you continue not to hear a problem, maybe there is none. In that case, just relax and enjoy the tunes! Good luck.
Dear all,
Many thanks for all of your valuable advices.
It's good that Monday was public holiday at my place so that I was able to check based on all of your input.

Guess what, the main culprit is the tonearm wire.
So in my case, I think Dougdeacon was right on his #2 point (Thanks a lot Doug, really appreciate it, why didn't I think of that :)).

Few months ago I replaced the detachable tonearm cable which is much stiffer vs. before, and as it has straight DIN connector and relatively tight space between the plinth and the rack, the new cable is quite bent which I believe makes the tonearm "tilted" a bit.
Unfortunately there is only 1 tightening screw (which tightens the tone arm "rod" to the collar) so I can't compensate the slight tilting on the opposite side.

Moving the turntable far back so that the tonearm cable doesn't bend, has helped to reduce the VTF difference (now it becomes 0.02 difference, which I hope is a normal variance). I agree with Swampwalker, maybe I just don't need to be too obsessive with measurements.
Soundwise (before and after) it doesn't bother me, but I think I can save the bearing condition much earlier before affecting both bearings and cartridge.

Thanks again for all of your valuable input. Really appreciate it.
My blushes, Swampwalker! I'm sure you mis-spoke, and meant to say, "...no data that I'm aware of regarding how many degrees off nominal his BRAIN can DEVIATE".

Brilliant post BTW, much like Paul might say. You scientists have a way of undercutting unexamined assumptions that embarasses the rest of us. (Please be careful, have you heard how that worked out for Galileo?)

Gondo101, glad you identifed the culprit (presumably). If you'd mentioned changing phono cables just a few months prior, it would have been #1 on everybody's list. ;-)

That said, a VTF variance of .02g across the record (assuming that's an accurate measurement, per Swampwalker's caution) is still beyond acceptability for anything other than an entry level toy rig. After confirming that the variance is in fact real, you should continue to experiment with ways to reduce it
Doug- if you want me to end the sentence w deviate, then I'll also have to change "nominal" to "normal" ;-). Hope you are well.