Jean said "Could this be a reason for my MTS internet to be down?
Thankful it has come back again around 2:10 pm "
If the cabinet feeding your address didn't have power... You wouldn't have internet.
Even if you had power at the house, doesn't mean the cabinet thats up to 8 blocks away, has power.
In all likelihood, yes the power outage is what caused your internet to cut out.