I believe "player's colony and admin limits" is talking about the 2 colony limit that the player can admin without stability issue and doesn't count towards how many admins you currently have in use.
admin is a hard limit; you cannot recruit more than your max.
nor can you use more than your max if you get lucky and get a cryo pod admin.
as for max colonies the player can manage
yes, you can have more than 2, however every colony under your control takes a stability penalty for every colony you are over said limit.
thus, we get back to my point
you need more population to get more admins, and you need more admins to get that population.
thus, you need more admins in order to get more admins.
you need the very thing you need in order to get what you need, which is innately paradoxical and leaves the player with only two play styles
use ai
or break the game by spending story points so you can govern more colonies till you pretty much become a story point god because you have nearly unlimited amounts of story points do to how many colonies you eventually have via said method.
its currently not possible to get to higher population counts required for the bonus admins past the first couple which is weird cause what exactly is the point of including a system you can't use without cheating, breaking the game balance using copious story point spam, or editing the settings file?
which does fall back to autonomous colonies as well, their not counting towards population for admins is the very reason it's not possible to get these later admins without such abnormal efforts. it pushes the player to game breaking strategies rather than engage with the autonomous colony system both because autonomous colonies suck balls and because they do nothing for getting you towards the next bonus admin. thus the entire gig there feels utterly pointless from the perspective of the player.
if the autonomous colonies downsides were toned down a bit(the 20% profits or losses is fine though) and, they at least partly counted towards pop count for admins, this would at least partly fix the entire issue with those two systems, it needs to feel worth it to utilize the autonomous colony system. and it counting to those pop limits removes the admin limit being this unmovable wall that can only be beat by breaking the games balance. which is good for players that dont want to become a WH40K reference if they want to run a massive empire.