Yes the Soviets can. They didn't start restricting off-maps from base sectors until after WFA's launch. They didn't do it retroactively for the old factions though, so they can still do it even though the new ones can't. On the other hand, the new faction's abilities are also more devastating than the old ones, which is why they started limiting them in the first place.
Sorry guys my bad, I only play soviets and brits and the commanders I use for soviets dont have Il2 bombing or incendiary. Brits can'ts for sure, I remember rushing an ostheer base with a crocodile and trying to call in concentrated barrage ability on the infantry near the hq building only to have to retreat.
Still I think this is a big issue and it's not fair that one person is be able to call arty on base sectors and the other can't. Ostheer's Stuka Dive bomb can cause serious damage to base buildings and of course wipe retreating/healing infantry near HQ and IL2 and incendiary bombs runs can kill infantry as well.
It shouldn't be hard for relic to fix this, either all factions can do it or none.