Question about modding psp

Hey everyone . Just picked up two psp after not having one for like 14 years.

They’re both modded. One has a memory card that has only 2000 mb left and the other one has 52 gb left

My question is.

If I replace the 2000 mb one with a different one like a 256 gb, would the psp not be modded? Like I would have to jail brake it again?

Cause I wanted to load up two 256 gb with a lot of games and then just switch them out to play those games..

Also it’s my first time loading games onto the psp so any advice would help