Yes processing time is long gone.
Email reminders are not even acknowledged by them. Have sent several to immigration office and VAC here in Tanzania.
Its a tough situation.
Yes the hospital are suppose to do that and I "guess" they would have done that already
Resend another message to CIC by using the title of "URGENT - No Update after Medical Request since June" then the body of the message should contain a brief message regarding your queries, include your application number and passport number with your full name. Then thank them
Sometimes, they don't always acknowledge the message but only on few basis.
Usually their are many emails of CIC processing online applications for every region, try to search for them and send to all, you might be lucky