Probably not ULA entirely for as long as they make Centaur - which was selected as the new upper stage for SLS. They also have a decent number of contracts with Amazon, and also with NASA to bring Starliner to the station.
I wouldn't be surprised if Vulcan goes away, and they survive for a decade on those, and disappear (bought out by Blue or someone else) when SLS is replaced by New Glenn or Starship.
I remember Boeing and Lockheed were trying to sell ULA, but couldn't get a buyer – I presume they were asking for more $$$ than any potential buyer thought ULA was worth.
But maybe events like this might motivate them to reconsider, and be willing to cut the price to the point someone is willing to buy them, e.g. Blue Origin.