Hi,
if you use a self-signed certificate on the PBS, then yes. Every time the finger print changes it needs to be adapted on the client (PVE) side. The question then is why do you update the certificate that frequently?
If you are using certificates generated by an external trough acme.sh (as the title of the thread implies), you will however not have to provide a fingerprint at all, given that these can be validated by the certificate chain. In that case simply leave it emtpy on the PVE side.