That's going to depend on your setup, but in most cases yes it will interfere.
It might not for me as I'm tall (thus I have long arms)
For a lot of people, we're close to having interference with the Ergo+ or Race+ armrests, which are 125mm long
Closed Scoops are 228mm long and don't have a scalloped underside, so it would be a very rare case that they could be combined with the ASC extensions.