Canada has it's own approval process. Only AZ, Moderna and Pfizer. Don't think many countries feel the WHO can give unbiased information.
My understanding is that they are about different things - each country's drug regulator (EMA for EU) approves a drug for use inside the country, for being both safe and effective. And since in many countries the government is the only likely purchaser, mostly only the ones that are actually going to be used will be approved. That doesn't mean they won't 'recognize' other vaccines but they can't be administered in Canada - like most other pharmaceuticals, they need approval.
Whereas the WHO's 'approval' is mainly about whether the vaccine is effective against covid - and with little direct control of additional things the national regulators look at (manufacturing, supply chain, etc) that bear more directly on safety. Smaller countries might just accept WHO recommendations and anything on the list could be used domestically, but bigger countries all have their own separate process like Canada.
(The parallel might be, for example, that you could only get "Company A" tetanus vaccine in Canada, but that for most purposes "Company B" vaccine used in some other country is fine and to the extent Canada ever looks at such vaccination records for things like schooling, they're acceptable)
So 'accepting' foreign vaccines for travel purposes and for those arriving from abroad is a separate decision and up to the government - I
think the government could accept all the foreign vaccines for travel purposes and related, or just do its own thing and come up with own system and requirements. Which would probably end up looking somewhat like the EMA's approach - some mix of accepting specific vaccines or documentation from certain countries/medical systems, etc.
Which unfortunately doesn't tell anyone trying to plan much of use just yet, except that it probably won't happen all at once, likely with a fair amount of international haggling about documents and standards and caution to start.
And of course - for Canada the priority is going to be largest economic partners (ie USA); everything else - later.
Separately, I just saw that universities in Ontario are starting to announce some initial vaccination requirements for students - notably University of Toronto will require first shot for students in residence. (They'll help get it, etc). As far as I can tell they are not providing any guidance on foreign vaccines - they'll likely follow the lead of the Feds.