I'm still not sure what you mean either. Not once have I ever needed to use the 'Circle to Search' feature (what happens when the Home key is held on Pixels, which appears to be what you're using in your picture) to save a picture. If I want a screenshot, I just use Power+VolDown
Edit: I see what you mean now. The app switcher (Using gestures so swiping up from the home button) is what you're using. Yeah, copy button now. Just select Files from the list and it'll download it. Likely changed to prioritize sharing memes quickly instead of doanloading for personal use.

