There are many financial products which require business incorporation.
Credit card? No. ACH? No. Wire transfer? No. Cash? No. Crypto? No. Check? No. IOU on a napkin? No. Pokemon card? No. Sex? Weirdly illegal in most places, but still no.
...uh...which ones did I miss?
Yes, you can go get a personal loan, or a retail banking account, or a personal payment processing account, but as I said, you're going to be locked out of a lot of B2B products.
Example, since you edited to add examples: I have several business bank accounts and far too many Stripe accounts all registered as sole prop. I haven't had to take a loan but I do have a sole prop credit card. My understanding is that even with an LLC a bank is going to require a personal guarantee for a loan.