the answer though is no. Meaning that a generation down is a generation down and there should not be so much of anything going on with your lp playback as to change that.
Now, maybe your tape machine is aligned some way to make the recording more pleasant (maybe more rolled off or more compressed sounding, or maybe aligned for my high end) but if it does that, the machine isn't set up technically properly because the best you should be able to get is a close copy.
I agree with everyone here about doing what you want and listening yourself, but the process isn't magic.
Now, maybe your tape machine is aligned some way to make the recording more pleasant (maybe more rolled off or more compressed sounding, or maybe aligned for my high end) but if it does that, the machine isn't set up technically properly because the best you should be able to get is a close copy.
I agree with everyone here about doing what you want and listening yourself, but the process isn't magic.