Okay so after doing some research, it looks like Panini actually has labeled the team set parallel as "Platinum". Strange because the package itself says "Blue" even though it is clearly different than the other Blue parallel. It looks like the Platinum parallel is listed on the database already, and Panini has the Platinum parallel listed on their official checklist.
It also seems like this is correct because the Platinum parallel on the panini website and on here as well does not include the 10 Kobe Bryant tribute cards at the end of the base set. This would be consistent with this being only for the team sets. (I got a Lakers team set and those cards were not in it)
Sooo- I am going to be documenting my Josh Jackson and Lonzo Ball parallels that I got from those sets under "Platinum" and will eventually add the scans there as well. If anyone has any objections to that or thinks I am wrong, please let me know.
(I have been a little let down at the lack of responses I have been getting on the forums recently)