@Allan: OP's suggestion would be a wireline service, not wireless.
"Should" is relative. Fido kick-started the trend in Ontario on the Rogers network. Virgin did the same on the Bell network (again Ontario only) to compete with Fido. Bell network also available in Quebec plus Bell Aliant in the maritimes, Rogers network also available in NB and NL, but no one is offering home internet via subsidiary brands out there.
If Koodo were to offer home internet, it'd be on Telus's network, which is limited to BC/AB and some of Eastern QC. But to compete with who? Not Fido nor Virgin. Maybe if Shaw were to offer it under FreedomMobile in AB, but still, wouldn't be happening in Ontario.
In otherwords, don't expect to see this any time soon.