Hello and welcome, Mt. Everest. I know from other's posts that paracentesis should include albumin given at the same time. I don't know of any downside of albumin, but there are ones of not having it given.
Maybe Rick or Pam will come along in a bit and educate you further. I have been lucky enough to never had paracentesis, though I contracted hep C in 68-69 and have had ascites (it was managed with diuretics.)
Hugs,
Connie