Not for recent hardware - Ice Lake eliminated the throttling on 256b ops (they already didn't exist for certain 256b ops and all smaller ops), and reduced the throttling to almost nothing for 512b ops. Rocket Lake eliminated the throttling for 512b ops.

https://en.wikipedia.org/wiki/Advanced_Vector_Extensions#Dow...

They do use a lot of power (and as a result, generate a lot of heat), so they can still cause thermal throttling, or throttling due to power limits - but there's no more "AVX offset"