Respectfully, you never implied only in Calgary either. You said "overall rental/hospitality market," which could mean Calgary's market, Alberta's market, Canada's market, the global market, etc and it's anyone's guess which one you meant.
I haven't noticed a ton of AirBNB activity in Calgary specifically either, but it's huge in other cities and is an issue for their respective markets. Like the Uber vs Taxis thing, there's either going to be government regulation that restricts AirBNB-type companies, or a massive paradigm shift that sees hotels falling out of favor and AirBNB becoming the new norm. It's hard to compete with something that has both cheaper overhead costs and cheaper rates for customers, so if AirBNB did happen to get super popular here, the government would have to help hotels out.
I don't think it'll affect Calgary very much either, but it definitely could. Either way, it's not like 1 small building will tip the scales.