This website contains age-restricted materials including nudity and explicit depictions of sexual activity.
By entering, you affirm that you are at least 18 years of age or the age of majority in the jurisdiction you are accessing the website from and you consent to viewing sexually explicit content.
On the other hand it’s a valid case to have the app installed by means other than the play store. I can’t imagine they have found this discrepancy in signatures for the first time.
Probably most other apps are correctly signed with the same certificate on both sites.
No they are not: F-Droid builds a signs the apps independently. Source: I have apps on both stores.
You can actually sign the F-Droid app yourself, if you use reproducible builds.
There’s reasonable odds the signatures still won’t match though, because Google requires App Bundles now, and then they build and sign the APK, rather than allowing the developer to build and sign their own APK.
Technically you can use the same key (see “Best Practices” of this page), but it’s kind of shady, and requires giving your private key to Google.