Allow me to correct that for you...people in general are notorious for having trouble being med compliant....

People won't finish a ten day course of antibiotics because they already feel better...they'll then just save the remainder for a future infection when they feel bad again. Doctors don't take the time to explain that if you don't finish the meds you might be making a resistant strain of bacteria.

To answer your question though people on injections which is essentially known compliance do a little better on meds in terms of reduced hospitalization and ER visits but it's a pretty minor difference...

Impact of atypical long-acting injectable ver... [BMC Psychiatry. 2013] - PubMed - NCBI

The problem is we basically have one type of medicine a D2 blocker for people who have a very genetically heterogenous condition. The meds don't work at all for like a quarter of people...giving them more meds or injections is therefore pointless but is often forced despite their lack of efficacy. There is this assumption that staying on meds will keep you well when the data suggests that people who stay on meds long term actually have more relapses over time. There is no clear cut answer...however the general population is often mislead to believe that every act of horror they see has to do with someone going off their meds....