Hertz was Ford. National was GM. And today, Silvercar is Audi.
At this point, and in reality, for most renters outside of us frequent users, there is very little choice in actual model, nor is there much care. When was the last time you actually got a decent selection renting? Heck, most of time now you stand their waiting for the next car to show up. That isn't going to change - car companies see high demand driving higher prices they can charge.
In the past GM< especially used to continue production of car lines for fleet buyers. It isn't just limited to rental car agencies. But GMs stock price was driven up by closing plants, and since those were not as profitable, they were the first to go. That is where the fleet idea comes in. You would need to find both a couple of models on the same platform being discontinued as well as a plant that is closing that makes them Work with that manufacturer to create new subsudiary, keeping it pretty separate from the other brands. Get the rental agencies, and even some of the larger fleet buyers, to invest. Do some tweaking on the nose and lights to give it a bit of a different look - GM is particularly good at this - and sell specifically to larger fleet purchases. The car companies used to commonly license out their car to smaller markets that they were not active in, so nothing new to them. The manufacturer till gets sales, the rental agencies get enough cars and better prices, and it doesn't hurt the stock price like large fleet sales of current production models would.