A tricky technical question

So do we have to keep the same types for introverts and everyone we have in MBTI when switching to socionics? It's not about a type switch ultimately but rather just a function switch, that brings with it the correct type that anyway is the same?, because functions are actually all different? Is this so?

I'm retyping all the people I know...

thanks @Sol

did someone in here convert from p to j and vice versa? did u all stay the same?