No it was not. It was an attempt to force him to mature and improve his focus. Him being sent to Italy seemed deliberate rather than us offloading him to whoever asked first, Woj acknowledged this in an interview too.
In Woj case the loan made plenty of sense - IIRC his ability as a GK was never in doubt aside from a few senseless moments. Wasn’t it the smoking incident that triggered Wenger’s desire to loan him out and improve maturity?
Name names…Very few actual GK talents out there that were acquirable by Arsenal and better than Woj in the last 3 years