An interesting idea.
I am not too sure how well it would work with a carburetor cause of serious blowback that is also very hot. Basically a bit like the big diesel 2 sttokes with a valve on top. What I think would be way cooler and more powerful but extremely hard to build would be a 2 stroke with a rotary valve onto so like a drum with a hole in it there a some four-stroke using drum rotary valves and a ring of exaust ports down below. And of course a rootsblower for the intake charge.
To get back to the reed valve. I think it could work with a extremly good pipe, but not very efficiently cause of the high vacuum needed to open the reed . So maybe a blower. Also I am extremly surprised that turbos use metal reeds cause I would think that if they get to hot the material gets to soft to be usable.