The RFP process is so long and brutal, and most of the time you need to have a man on the inside and basically go through that process as a formality because you are already guaranteed the contract.
But some things are broken in Government on purpose, so this would be very difficult, and it couldn't just be a Turbo Tax like software for submitting documents.
But some type of marketplace where you could hire agents to guide your software company through the RFP process and help land you contracts could definitely be a thing.
I'm thinking something that would basically be like E-Lance/UP-Work but for Lobbyists.
Sure, you can get some points for diversity, but in the end, diversity only gets a few small contracts here and there while the establishment rakes in the Lion's share.
It's a broken process; you keep chasing various people to add their input, you end up with "RFP for Client A version 2 version C with input from Frank version 3.xlsx"
I'm not sure why that is. Perhaps the existing SaaS/online solutions are too intrusive to setup, or people don't want that stuff in the cloud. Whatever reason it is, the current process is broken.
Generally RFPs have to be easy for the buyer; the vendor is kind of supposed to bend over backward anyway, especially at this point of the sales process.
I'm writing from non-US perspective but I suppose that it's as usual and same story to some degree in every country in the world - as an outsider you don't have slightest chance, you just need to know the right people then it might happen that your offer is chosen in public tender/contract.