That does help a bit with the banks, but I've not had any luck at all with the stores who cancel my orders after the payment goes through. They refuse to budge, assuming I even get a response, and won't give me any information about why my orders are cancelled, citing more vague security reasons.
I did have success with a privacy.com card once, at a store that cancelled orders from all of my other cards. I'm guessing they see it as a prepaid card and can't get as much info on those.
