If I play Nessa on my turn while my opponent has “Shifty Substitution” in effect, do I still get to Paralyze the opponent’s Active Pokemon if I use Drednaw’s “Vise Wave” attack?
Yes, because even though Shifty Substitution replaces Nessa’s usual effect the Supporter card still has the same name, so Vise Wave will still paralyze your opponent.
Source: Vivid Voltage FAQ (2020-10-31), TPCi Rules Team (2020-11-12)

Relevant cards

Note: All applicable cards may not be listed below.
SWSH4_157
SWSH4_157
SWSH4_39
SWSH4_39
SWSH4_183
SWSH4_183
SWSH4_12
SWSH4_12