I’ve hiked to the top of Yosemite Falls in the early spring in compacted snow. I used microspikes, not show shoes. I don’t recall anything concerning, with the exception of hearing snow/rockfall off of a steep western (?) cliff that the trail runs under for some time. I suppose this section may be of concern with fresh snow…?? But maybe not, it’s a cliff face, so snow wouldn’t accumulate. I don’t know what’s above the cliff (i.e. a possible avalanche area.) My sense is that after top of the falls things mellow out, but I’ve never gone on from there.
The trail is steep but in spring conditions it never occurred to me to worry about avalanche. It may look different earlier in the year! if I remember right, near the top especially. It’s a steep sided bowl of sorts.