… Would probably work if the birds were already dead (the problem isn’t worth solving). Or if the birds were trapped in a really small space (they’re actually the same problem). Or maybe, you’d have to kill one bird with a stone first, then you pick up the same stone, give it a little polish, and kill the other (tackle one problem at a time).
Observation: it’s easy to think that one feature is the solution to multiple problems, or to latch onto a planned development and add on requirements so it can hopefully solve another.
It might help, but it might also mean your feature ends up being half-baked.