sure, in the first few years you won't need the queen that much. but a hive will have casualties. some from the wild, others from failed moods and more from megabeasts and enemies.
even in you don't the main castes (that is, soldiers and workers) serve two different purposes. when the migrant waves stop coming you may find yourself having too few soldiers for your military or too many (which is supposed to be rare, soldiers are fewer than the workers, but still). or simply you have a project in mind that requires lots of wasps.
also, bear in mind that wasps have significantly shorter lifespans that humans (soldiers 40-50 years, workers 15-20 years). you WILL have deaths from old age as your hive progresses.
there's also an advantage in making a lot of wasps: culling them for free food, essence and soul
finally, since parent-child and wife-husband relations will be nonexistent, and therefore tantrum spirals more rare, swarming your enemies with a horde of wasps and aberrants will be a perfectly viable tactic. especially if you're crafty enough and manage to have two or more queens on the hive hidden from one another.
so you'll definitely need a queen at some point. the question is: do you plan on making a lot of wasps quickly, and therefore making a queen is your first priority, or do you find managing 16 new creatures per year too much of a liability for a newly established hive and you want to wait for a few years?
and now, two questions: a)should the wasps be allied with any faction or should they have no allies at all?
b)is there a way to limit the population cap only for the wasps?