Can we play the Coop campaigns without owning the expansions?

I have no problem even buying the campaings, but my friends don’t want to spend money on this game, and only play the free version.

There are some pretty good custom campaings made by some excellent map makers, like Race-swapped by Synergy, and the coop HOTS and LOTV campaings, but we cannot play those due to not owning any expansions.

tl;dr Me and my friends don’t really like the expansion check, and we want to ask if it were removed, would Blizzard remove the maps from arcade?