For that to be true, then the entire wall next to it that I just showed lined up with the plaque would also have to be "hung higher".
I maintain my stance, and the pic speaks for itself.
I tried to find a photo of the original set to see - I found this photo from season 1, which isn't from the same angle, but it seems to me like the plaque is close to the height it appears in ST: Picard as well as in that particular episode of TNG:
I also tried to use Brent Spiner as a reference for how high the plaque is - he's a similar height to Patrick Stewart (though it's hard to get accurate height information online, I believe Spiner was around the same height as Stewart, possibly even a bit taller, while TNG was in production). Plus, he's standing right against the wall at the top of the ramp, so his height should be a pretty good gauge:
It's not the best reference pic due to the graininess and blurriness, but I got as close as I could to positioning everything.
Judging from this, Spiner's eyeline would be just above mid-plaque if he were standing to the right of it, as I placed him here. But also keep in mind that he's still standing on a slant, so if he were standing directly in front of the plaque, which is not on the ramp, he'd be slightly lower.
Also, note the perspectives and posture of Stewart in your pic - in the TNG episode, he appears to be off to the right (where the ramp is) and appears to be standing fairly straight, with his head tilted back just a bit. In the Picard episode, it looks like he may be more in front of the plaque, with his head tilted sideways, and it's likely his posture isn't nearly as erect as in the TNG episode, especially given his age, which is part of the reason people appear to shrink in their old age.
Plus, your perspective line in blue that connects the wall along the ramp with the plaque in both episode pics that you used seems to show the new set is consistent with the original. So for the plaque to be too high would mean the entire wall would have been wrong, not just the placement of the plaque.
It's also worth noting that the new set's plaque is now surrounded by a gold color frame (the black backround panel also appears to have a border as well, maybe to "clean up" the edge and cover any screw holes like you can see in the original panel). So there are at least a few esthetic changes, but I'm reasonably sure that the height of the plaque is pretty close to the original, and the difference in Stewart's eyeline and head height in relation have more to do with his position relative to the plaque.
I may have spent
WAY too much time trying to figure this out...