I was impacted by this. I had three flights canceled in four days. My bags are still somewhere in Denver. I ended up rebooking on American. I'm certainly going to try to make Southwest pay for it, once their phone lines clear up.
Southwest is going to need to go above and beyond to fix this or they're done in my book. I will choose a more expensive option over them. I'll choose a less direct route. This Russian Roulette but every chamber's loaded game has been an enormous, stressful waste of time.
None of the hacks suggested here work when the customer service phone line is down, the website doesn't work, and every other flight is cancelled or full.