This opens up the door to a DOS, as the number of possible user points is limited:
Any user can invoke _checkpoint for any tokenId by using depositFor.
Naturally 1 Billion is a very large number that somewhats limits the feasability and likelihood of this attack (but does not mean a billion transactions need to be made, as the deposits could be looped through a contract). Even though the impact could be categorized as a permanent freeze, the limitations do not justify a higher severity than medium imo, hence griefing seems to be the appropriate impact.
Impact Details
DOS of any tokenId, but associated with very high costs of attack.
Recommendations
Consider going back to Velodromes approach of accounting, which limits the addition of points to 1 per block:
This would also add a time constraint on the attack, which would require 380 years, assuming a a block each 12 seconds.