I tried the last Pop! Os build and even if it's a great distro I hated the fact that I can't search while in overview. Just... Why??? To me this is primary productivity feature! I feel like the new app library is totally useless.
Last time I tried Pop!_OS I couldn't search while in overview. In Zorin I usually hit super key, enter overview and whenever I hit a letter on the keyboard it starts searching for apps and files. I didn't find this behaviour in Pop_os. Maybe they reintroduced it? I hope so!
From the screenshots you provided I see you are using the new app library. With "overview" I mean the gnome overview from which you can see every app opened on every screen. From there, in Pop_os you can't do search.
Just because that's how I'm used to search for apps and things I need in Zorin. I love having the worskspace overview and search function integrated because I always have lot of apps running so I freequently use the worskspace overview. From there, I just start typing what I need and the search function does its job. And to me that's awesome in Pop_os I can't do that unfortunately unless I disable the cosmic extension.
Today i installed KDE on my external test drive because i wanted to try out KDE + Sweet KDE theme. I still need to configure KDE because it has so many options. So i switched back to gnome for other stuff and now it looks quite cool haha.
People who updated the system with those updates from above might run into a issue with the "show applications" menu. It will look the same again as Pop! OS 21.04.
I switched to Pop! OS a few days ago and I am surprised with the stability...
It uses kernel 5.16 which is a plus for me..
They made the "show applications" menu bigger as well:
Personally speaking, I am impressed with what they have done. Another great thing is that they have Snap removed by default which makes the OS bloat-free. Canonical should learn from them..