No they wouldn't. Depositors with less than $250,000 would be treated the same, but those with more than $250,000 would NOT be.
And I'm saying that those don't, in practice, exist to any noticeable degree. I've looked at these community banks for my research, and they simply don't have a ton of uninsured deposits. Once again, my point is that the article is trying to make you scared about how the government is going to bailout the coastal elites while you cuddly little small town americans are going to be high and dry. But that's not true, unless you are a non-coastal elite you are going to be bailed out in the exact same way that the depositors of SVB was.