I'm not sure if this is the point you're trying to make or if you're implying private companies aren't up to it, but... the other launcher of the same class, which will probably be launching within a year and is much more capable, is Starship.

https://everydayastronaut.com/wp-content/uploads/2020/04/Sup...

Yes, but the list of NASA contractors are behemoth companies that are not focused on any one purpose. SpaceX is only focused on launching things into orbit, even if the majority is their own constellation. I’m guessing the money received by NASA contractors is pennies compared to other contracts they receive. Apples and oranges you’re comparing here.

I thought "(discluding certain legacy contractors)" would be clear in my first comment

Relativity and Rocket Lab are working with NASA

https://www.relativityspace.com/press-release/2022/jan27/nas...

https://www.rocketlabusa.com/updates/rocket-lab-moon-mission...