It should work for any V3 character, as long as the character doesn't use any dials not on the catsuit. (Some characters use weird morphs, or custom morphs, but if that's the case, the clothes won't fit in P4, either.)

A couple of things to check:

Sometimes copying and pasting is glitchy. To be sure it worked, look at the dials of the bodysuit. They should have changed, if it worked, to match those in the character. Just scan down the list and make sure some of them don't read 0 any more.

There have been two service releases for V3 and I think one for the catsuit. You don't need to worry about SR2 for Vicky - that was to add morph channels to her head. But make sure you have SR1 for both the catsuit and V3 installed.