Throw your VIN in here and it should give you a list of OSID's compatible with your PCM.
https://tis2web.service.gm.com/tis2webusing a vin I have for a 98 L36 Bonneville I can see that those two OSID's are compatible. You should be good to go there.
When updating the OS I usually do a full write just to be safe. Not entirely sure if it's required but it seems like it's a good practice to me.
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2009 Chevy Silverado 2500HD
crew cab, 6.0, Z71. The project mover.2002 Regal GS: 3.4 pulley, E85, and quicker than my old 99
1982 Pontiac Grand Prix
L67, T56, GT45, T56, Holley EFI; It's pretty quick Mod list here