https://ask.usda.gov/s/article/How-does-fast-freezing-improve-the-quality-of-frozen-foods
yes, the faster you can make it cold, the better the quality at thawing
Discussion
if i was busy with this stuff, i'd get a chest freezer, bolster it's insulation layer by at least 2x, and modify the thermal pump controller so i can just turn it on and leave it on until i switch it back to maintaining temperature... and hm yeah actually, might be better to get a smaller chamber to use for this, for specific freezes, and get them to freeze fast, and then once frozen drop them into a normal big freezer... would be worth getting the compressor from a giant freezer, and put it on a tiny little thing enough for your day's eggs so you can freeze them up in like 3 hours hard solid, probably they would thaw out and be almost like fresh eggs