If the scope is well baffled ( ie a baffle stop mounted directly in front of the base of the focuser and fixed) then the top is going to be fairly well baffled. I've never noticed shrouds to do anything much myself but protect primary a little from dew.
Still , its all a matter of trade off. If you use the scope 3 X as much a traditional dob, because it is so quick to cool and setup then It just might pan out as 2X as good