as title
making chutes able to directly insert into covered conveyors would also be an option, but then you couldn't transport chickens :C

You should be able to insert into the back of the conveyor?

The reason I don't have covered ones open to the top is that it's another special case to deal with :V

hmm. Could you make them open to chutes to the side like they do for other conveyors then?
also, am contemplating to allow chutes to drop into covered conveyors (currently ignoring all conveyors for insert-into-inventory in the chute PR), because dropping conveyors are able to