Yeah it seems that's the idea. But it's a kind of a one dimensional perspective on sadness/crying, which is disappointing since the original series endings accepted joy and sorrow and the reality of facing both. I suppose Shinji said he still feels sadness, but will put it into action instead of expressing it. But it seems off, and more relevantly it still seems like he changes without a revelation.
It's almost as though the movie is skipping over that part since EoTV and EoE already did them and Anno felt it would be repetitive to explore those feelings again. However I feel very strongly that it is precisely because 3+1 aims to convey such a more positive ending, that Anno should have explored this at least as thoroughly as before.
In theory one could say that Shinji "downloaded" his psychological changes from EoTV and EoE after entering the anti-universe, but even I, someone who thinks it explicitly connects to NGE, that's a very nonsensical and unsatisfying way to solve the problem off screen.
It seems like especially odd 3+1 skips out on the chance to explore Shinji thoroughly because 3.0 sacrificed so much to focus almost solely on Shinji and imo that worked very well. Rebuild has in general focused more closely on Shinji, so it's so strange that 3+1 skips over the most important step (revelation).
It feels like Anno didn't want to explore Shinji anymore and instead wanted to just write him as happier and more balanced because people were nice to him. It covers recovery through external reassurance/extrinsic change but not the personal/intrinsic change that sparks a revelation that can lead to Shinji's resolution.
I think Anno's sentiment with this movie is nice, but it misses so many opportunities to convey it better.