I don’t know if this is intended behaviour (so I won’t put it in the bug reports, but will file it here=, but when viewing observations on the Android App, when your scroll down to the bottom of the screen on the observation, it only appears to recognize old style projects.
For instance on my mobile version, this record https://www.inaturalist.org/observations/20950770
indicates it is in 2 projects. When viewed on the website, it lists 9. I believe the remaining 7 are collection projects.
While I am an infrequent user of the app, it would be nice if the information displayed was consistent.