What? No. You're rationalizing what is clearly an error. Truth still exists, and bats do not have paws, any more than humans do.
Doing some digging, paws are "soft foot-like parts of a mammal, generally a quadruped, that has claws" (Wikipedia). Bats do appear to have claws, but not really with the same structure as a paw; they don't seem to be mounted above a soft, fleshy pad. Rather, they're at the top of the wing, sitting on bone. They're also very different in function, when I've had the fortune to see a bat they seemed to use the claw to climb in a similar way to how climbers use ice axes.
My impression is that bat's claws are the anatomical equivalent of a thumb, not a hand/paw, and that the entire paw or hand of bat's ancestors evolved into their wings (sort of like if your fingers became very long and webbed and then you were able to fly with them).
So, my conclusion is that no, the claws of a bat are not a paw.
ETA: I neglected to consider their hind claws, but I don't think those are padded either.
https://i.pinimg.com/originals/1e/8d/09/1e8d0923d5caf2dbab68...
That certainly has claws but I wouldn't describe that as being soft or as being similar to a paw. And they're pretty clearly made for hanging, climbing, and grasping prey/food, and not for walking.
As long as it has claws according to vocabulary dot com it is a paw.
Anyway I'm enjoying imagining bats with little paws, it's an amusing image.
https://www.merriam-webster.com/dictionary/paw
Look up the definition of a paw. I think you have a sort of mixed up definition of what it is. Possibly a different definition used among your "bat expert" friends.
And I quote (again):
Paw: the foot of a quadruped (such as a lion or dog) that has claws
broadly : the foot of an animal
The thing you are referring to is likely are these soft pads that are often on the paws, sometimes called paw pads.
But this nuance in the definition of the word paw was addressed by chatGPT.