maybe moving the speakers a few inches can make a difference. ...
As far as an EQ Preamp, I had a DSPeaker Anti-Mode 2.0. While it certainly adjusted the room response it degraded SQ. I had no idea how much until I tried it with/without in my system. Maybe it was the extra cables involved but it was anything but transparent with my equipment.
The second one is good to see, it shows you're listening. Lots of guys maybe most who go wandering down this road get so caught up in the numbers they forget or don't even notice they've shot themselves in the foot when it comes to sound quality. There's more to sound quality than frequency response. Most of the stuff we are able to measure is at best gross and often times misleading. Like chasing flat response at the expense of transparency, ease, detail, etc.
Forest for the trees.
What you will find with your room software, I predict will be a replay of what you found with the EQ. It will at best help you tweak a bit flatter response. Only in this case instead of losing transparency you will lose something else. Not sure what exactly you will have to find that out for yourself. But it will be something.
Probably imaging. Tweaking speakers for imaging is a game of millimeters. Actually make that millimeter. That's about how precise they need to be for precise imaging.
What you will find, I can just about guarantee, is any move big enough to be heard as a benefit you either already did or at least certainly could have done. Well I mean if you can hear it, then try, wind up same place minus the cost of the software. So really all any software can do is a) save a little time and b) maybe get you closer but on a graph not anything you could hear. Because if you could hear it you could do it. So back to time. And money.
Meanwhile what if the software says move the speakers a few inches closer to a side wall? To get let's say 2dB flatter response. Which could be. Well moving closer to the side wall moved the first side wall reflection closer in time meaning either smeared imaging or more absorption needed, either way a loss for a gain.
Honestly probably never will understand why guys put so much faith in these things. On the bright side, keep this in mind, keep your ears and eyes open like you did with the EQ and you will learn from the experience, which is the main thing after all.