AFAIK they all have protection to only work within the range of the batteries they come with.
But you can verify that, if you have an adjustable power supply, by running it at about 28v (full charge of SLA), then while wheels off ground (so it doens't overload the psu), try the throttle gently, see if it moves wheels. If so, then increase voltage by a volt, and retry. Keep doing that until it won't move the wheels, or until you are satisfied that it will run at the voltage you'd like, or until it smokes.
So if they're meant for 24v SLA, then the max is probably 29V, and min is probably 22V or more. (might work down to 20).
They may have other limitations, like very low speed limits (4-5mph, maybe up to 8mph, is common).
I played with a couple of controllers I'd gotten for powerchairs, and couldn't get them to run motors if they were above the 29V limit. Might've been 30V on one. I think one of them was from a quickie chair, the other I don't rememeber. I doubt I still have either one. I have the remnants of another powerchair controller, scooter type, but I know it doesnt' work after the corrosion and heat from the fire and chemicals used to put it out.
I've been told by a service guy that a number of controllers are programmable, but unless you're a service center for that brand you'll never get the stuff to do it with.
The motors themselves, however, should run on whatever you want to try.
I used various powerchair brushed motors on CB2 at 36v, and then at 48v, and they had enough torque even with a tiny 4QD 4fet controller to destroy numerous chains, rings, even a whole wheel once, due to bending the frame with the torque and causing derailments. :/
Iv'e got a brushless one that runs fine on an ebike controller after adding halls to it; there's a thread about it somewhere. I think I ran it at 36v, I forget, but it was made for 24v system. Didn't hae the controller that it was used iwth so dunno if that had any limits.