How much do people dislike Californians moving in really?

Our family's plan was to save up for a downpayment and purchase a place in Southern California (LA/OC Counties, specifically). But with interest rates being what they are, and homes appreciating almost as fast as we can save up, it just feels like the goal post is always moving. It'll be possible with some time and luck, but it's distressing always having this feeling that we need to keep increasing our incomes to keep up with the COL here.

We're toying with the idea of taking what would be a 15-20% downpayment here and using it as a 30%+ downpayment elsewhere. We have a few different cities we're going to check out over the next year or two before making any sort of jump, but we're also under the impression people don't take kindly to Californians coming in and doing exactly what we're doing. How true is that really? I'm guessing it varies from city to city. Places we had in mind are Pittsburgh, Austin, Chicago, Atlanta, Raleigh, and Denver, if that matters.