So you suggested that their civilization as a whole had little agency around population control.
Beyond that, if you have effectively infinite space and resources, there's no need at all to have even the slightest bit of population control.
You're forgetting simple geometry. Space empires can only expand proportional to n^3, while their population could potentially expand proportional to k^n. Also, in a situation where there are multiple star-faring "species," a hegemonic, exponentially expanding entity might well be viewed by others as worse than obnoxious.
Given these reasonable assumptions, it seems likely to me that most space-faring civilizations of this level of technology will never experience any kind of pressure on living space. If you've ever read the Culture series (by Iain M. Banks) then you might reasonably expect such a civilization to "Sublime" before running out of space. Or to eventually alter themselves so as to remove the desire to procreate in a deliberate move to "retire" from the galactic stage.
I said "most" because there is of course the possibility that some species comes along that has the urge not just to procreate but to have as many children as possible as fast as possible, and manages to achieve this level of technology without ever altering this behavior. Such a species that is driven to expand its population as fast as possible may then experience restrictions on living space, but such a species would eventually have to enact population control, which could take the form of altering themselves to remove this urge to procreate as fast as possible and therefore will become just like "most space-faring civilizations".
From the POV of an outsider or a different species, would any entity care about the difference between "effectively/pretty much" and what you deem to be "actual" population control?
I doubt it.
So basically, you haven't been disagreeing with me, just splitting hairs on what the words "population control" means. I'm using a more generic criteria: Is the population controlled?
Beyond that, if you have effectively infinite space and resources, there's no need at all to have even the slightest bit of population control. Population control is only necessary to ensure adequate resources (including space to live) for everybody. But when there's no constraint on resources, there's no reason why anybody shouldn't have as many children as they desire.