Dogs are a lot easier to catch than bats and bats don't belong to anyone, so there's two more reasons for you.

There have been very few cases of rabid bats in the UK, if any.

Maybe you didn't read that it was the history of how Britain eradicated rabies?

For most of history until the rabies vaccine if you got bit by a dog there was a 5% chance it killed you unless you amputated the affected limb.

These are very high stakes for a dog bite.