It depends where you raise it, which is sort of the point of these boosters.
If you turn up your mic gain or digitally boost your recording, you're turning up everything.
The intended signal, the noise from the room, the equipment self noise...
If you use a cloudlifter you're boosting the signal from the mic before the rest of the gear chain so anything capture by the mic is increased, but the self noise of the rest of your chain is the same as it was.
If you have a healthy signal to noise ratio you should be able to do all the turning up you need in software.