It's a bit of a misconception that WCB is mandatory for all industries. It is mandatory for many, but many are exempt.
http://www.wcb.ab.ca/pdfs/employers/...industries.pdf
It is not unusual for companies not to have WCB account if their industries are exempt. It's surprising how many industries are exempt. Golf coures, accounting firms, dental/medical offices etc are all exempt. Some exempt companies choose to have WCB for employees, but there are many that do not. WCB coverage can be expensive. It doesn't hurt to ask the employer. I've seen a few who have WCB for their board of directors/owners only as this limits liability in case of a suit, but they don't carry it for employees.
If the employer is exempt and not insurred, WCB will not pay. Just because the doctor submits their report it does'nt mean anything. Only if the company has coverage will they even look at the claim. Calcified tendonitis can be either RSI or degenerative. WCB will look for a specific incident/trauma and will investigate. I'll bet WCB will say it's degenerative and a pre-existing condition and they'd deny it and you will have a fight on your hands to show work duties aggravated the pre-existing condition. Unless an examining physician opines work made the pre-existing condition worse, it can be a tough fight to win.
EI has medical absence benefits for about 15 weeks. This is different than regular EI, has different requirements and is quite simple to get (but does take time as it is gov't after-all).
CPP does have a disability pension. Generally you must be deemed totally and permanently disabled and unemployable. It's not easy to qualify and there are many hoops to jump through. I've seen it take up to 6 months to go through the process and with a diagnosis of calcified tendonitis, not likely to be approved in my experience as prognosis for returning to work after surgery is pretty good.
Just my 2 cents.