Point of sale collection of taxes gets people to include taxes in financing. I would never do that. It would be just like paying the IRS with a credit card. Never.
Paying TTL to the dealer is nothing but a good thing. It means they're acting as the DMV for you so you don't have to go there yourself to file the forms and get the plate and title doc and all that. At least in NY State, it means they collect the TTL and have pre-allocated real (not temporary) plates and registration documents to give to you, and you get the title doc mailed to you later from the DMV after it gets processed. It's even something I'd pay a service charge for, to avoid having to take time off from work to visit the DMV, but they do it for free. It has nothing to do with financing at all.
Financing means you're hooking up with a financing company (which is not the dealership, though they probably get kickback from Suzuki Finance or something if they funnel you to them). That financing company is lending you money to pay the dealer - for the bike, for accessories, for the TTL, for buying you and your brother four fried chickens and a Coke plus four slices of toast white bread (dry), whatever it is you're paying the dealer for, for whatever reason. If you pay it all in cash or put it all on your CC or use their financing, you owe the dealership the same same amount of money.
You could earmark it by saying, "I'll pay the $500 or whatever for the TTL in cash or on my CC, and finance just the bike", but it'd be a purely symbolic gesture: it'd be no different than simply handing them a $500 cashier's check drawn from your checking account and financing the rest. The government agencies and the dealership are getting the same money either way, in whatever combo of directly from you or from the financing company, and you are then on the hook to pay back however much you financed back to the financing company at whatever terms you agreed to. That's it.
So yes, if you're putting no money down and are financing the bike entirely
, then signing over some financed amount to the dealer and letting the dealership handle the TTL is just like borrowing money to pay the TTL at the DMV. Once you are putting any cash down and that cash amount exceeds the TTL you're paying through the dealership, you may as well consider it as having paid the TTL in cash and financed whatever is left towards the bike.