Why would Google Pay integrate bitcoin
I'm sure you will lose your anonymity if you use bitcoin in Google Pay
I think it's bad idea
Why wouldn't they? If they know Bitcoin will be the future then Google would be the first to want to be a part of it even if it threatened their payment system. If you can't beat them join them etc.
It being a bad idea or not doesn't really affect the significance of the move by Google IF the rumors turn out to be true, which they seems quite likely.