If I have Kricketune's "Swelling Tune" Ability in play, do my Kricketune Vs get +40 HP or not?
Swelling Tune is specifically referring to Kricketune, but "Kricketune V" is a different card name so it would get +40 HP.
Source: Astral Radiance FAQ; TPCi Rules Team (2022-05-26)

Relevant cards

Note: All applicable cards may not be listed below.
SWSH10_10
SWSH10_10