In general common usage, the term connotates crazy
. However, actually psychotic people sometimes hallucinate badly, can have delusional ideas, sometimes say things that wouldn't make sense to them if they were in their senses, and sometimes just aren't there in a catatonic sense. Some can't filter out irrelevant stuff from their surroundings, but not all. An old term for a catatonic Schizophrenia symptom has been passed to its' genetic opposite for quite awhile now, Autism. Ironically, though 'psychotic' implies crazy, I find Antisocial personality disorder to have more to do with 'crazy' then psychotic ever did.
I am so glad I have several good reasons that I'm developmental as opposed to psychotic!