I have now tested a bit further, and I have found no way to get sparseimage to work, when it is to be mounted from a NAS SMB share. But...
If you create the exact same encrypted sparseimage with exact the same content as a MacOS (journaled) drive (HPFS), the problem does not exist. I haven't tested sparsebundle, since I'm not using that, but hope this can be of help/inspiration to sparsebundle users affected by sudden "APFS instability" .
The problem is quite clearly located in Big Sur sparseimage/sparsebundle handling, where APFS is used (I have a suspicion, what could be the cause, alas... it's not my task to do the work Apple hasn't done).
I'm enrolling my windows 10 gear for future use on that front, since Bitlocked disk images have worked and mounted trouble free without any hickups for years and years and years and... reliably! Fiddling around with the still somewhat flakey APFS file system based storage is to insecure for my taste. Who knows, the HPFS support may also vanish without warning at some time. Whether intended or caused by a bug.
Regards
P.S. An APFS formatted sparseimage, that mounts without any problems from a locally connected Thunderbolt SSD, exhibits the following behaviour (if password is located in keychain, otherwise password must be entered immediately, when mounted from an SMB NAS share):
- The "image" is checked for a loooong time:

- When completed, the following error message is shown:

Stating that: No archives can be activated.
I will stop using APFS for disk images in general, and - of course - any Apple formats on all external disks (especially when encrypted). Who'knows, what new surprises the APFS format "work (still) in progress" may turn up in form of spanners for existing and currently working functionality ;-)