Use a mirror or a light and your phone to take a photo of the underside of the faucet. It’s possible that these integral supply stops and hoses connect to the underside of the faucet or short lines from the faucet. If that’s the case no, you don’t necessarily need to change them, but you don’t know what you’ll find connections-wise until you buy a new faucet.
Sometimes this stuff is just. PIA. That’s why the pros carry a lot of stuff in their truck! They can’t be running to Home Depot every time…