There are nonetheless risks associated with using a debit card which may matter depending on how well-resourced one is.
Presume a rental where there are legitimate damages, additional charges or whatever. E.g., one owes more money and does not dispute that. With a credit card, the additional amount will show up and be payable as per one's card agreement. Among the general options as to pay it over time and incur interest charges. That may be distasteful to some, but it is an approach. Moreover, one may make arrangements to pull funds from elsewhere to pay off the card.
With a debit card, "charges" are immediately debited to the account linked to the card. If one runs a substantial balance in that account, this is not an issue. But, if one does not and one is traveling, it can be quite a shock to have a significant debit suddenly drain an account.
There are no absolutes, although it is certainly the case that for a US-based card issuer (bank), one has not only better protections with a credit card, but an avenue to less hassle and delay in the process.