The GAO put out a report on this a few months ago, pointing out the failures of SpaceX here (including massive cost overruns) much more than the supposed cost overruns of SLS. Incidentally, after this GAO report came out, Elon Musk became very interested in being in charge of managing "government waste."
Orion is delayed due to a heat shield issue: https://www.nasa.gov/missions/artemis/nasa-identifies-cause-...
The first SLS launch was six years behind and massively over budget.
Lunar Gateway is almost certainly getting delayed.
None of these programs rely on SpaceX in any way thus far.
There is an issue with another dependency for Artemis 2 and 3, though - Starship is nowhere near where it needs to be.
Artemis II has no Starship dependency. It's entirely SLS/Orion.
Your own article agrees with me:
> Artemis 2 likely would've been delayed by a year or so, to late 2026, had a heat-shield replacement been required, NASA officials said today. But the mission team still needs more time than originally envisioned to get Orion up to crew-carrying speed, explaining the roughly six-month push.
> "The heat shield was installed in June 2023, and the root cause investigation took place in parallel to other assembly and testing activities to preserve as much schedule as possible."
And of course its completely ridiculous to blame a program that received 2 billion $ and only really started a few years ago, vs things like SLS Orion that have been going for decades and absorbed 50 billion $.