Previously when I used an Intel Macbook Pro with 10.14.6, I could press ⌘ + space and instantly start typing and Spotlight would register everything I typed, but since switching to an M1 Pro Macbook Pro with 12.6.1, it takes about a half a second for the window to show up, so when I type at my usual speed it misses the first two characters.
The same issue occurs in safe mode, when being logged in as another user, after having unloaded the Spotlight daemon and loaded it again, after having reindexed the drive, and after having reinstalled macOS. I also tried unchecking all the "search result" options under Spotlight in System Preferences. I've had the same issue previously under Intel and Mojave, but it was solved after a system update (upgrading to 12.6.2 didn't change anything), and I know macOS 13 is available but I'd like keep using Monterey for a while.