Artemis from the beginning was just politics. And it wasn't driven by how to best do things, or any kind of coherent strategy. Its basically was a compromise, that had one of its pillars, that SLS and Orion need to continue to be used. Those two project have spend decades getting untold amounts of money. And even after all that money, their development isn't finished and they would need more money.
Then with the very, very little money left over, NASA tried to precure a moon lander. It was basically no money at all.
SpaceX won this competition, because SpaceX was willing to do things for an absurdly cheap price. Mostly because they are already investming themselves into the project. And their own investment was significantly larger then what NASA paid them.
Only after BlueOrigin lost, did they start a massive lobby campaign to figure out how to get more money out of congress so they could fund another lander.
But both landers, SpaceX and BlueOrigin, do not receive enough money to cover their cost. Not even close. So basically the US is relaying on massive companies in SpaceX case, and simply the private money of Bezos in BlueOrigins case to sponsor a moon program for them. Because all NASA money is going into legacy contracts that have very bad return on invesmtent.
The political move to now blame SpaceX for being late is just an excuse so that the overall project doesn't have to be reevaluated. The reality is, SpaceX is likely not the only reason for a delay. The suits are unlikley to be ready anyway. And even if Artemis III goes off, the SLS Block 2 is behind as well and will cost many additional billions.
And threating SpaceX with paying some legacy company to do a cost-plus lander isn't going to do anything, its just a fantasy thread, or at best the deamnd by some in congress to push even more money into legacy companies. Its not going to fix Artemis III or anything. Its funny how delays in cost-plus contract always lead to simply more money and more political support. Almost as if there was some other motives behind the decition when delays are unacceptable and when they are.
The reality of all of this is that NASA is completely mismanaged and fundamentally set up incorrectly. And just making big political waves on blaming whoever is politically out of favor will never actually work. The only reason SpaceX and the New Space economy exist is because clever teams inside of NASA and in Obamas team managed to sneak a few good programs, Commercial Cargo and Commercial Crew past congress. Without those people, the US would already be far behind in terms of space.
The question the US (Congress/NASA) should be asking is not 'how can we get Artemis III' but rather 'what kind of Space program do we want over the next 30 years'. The US has an incredible space industry, and more private investment then everybody combinaed. There is no question that the US and NASA could be far, far beyond everbody else, and achieve amazing thigns, but Congress and NASA fundamentally misguided approch is holding it back.
So please, stop talking about Artemis III and start asking some more fundmanetal questions.