You can own property in any state, but where you domicile does make a difference and you want to make that solid especially when using one of the three states known for offering an "address" to people that don't reside there, FL, TX and SD. It needs to look like you have pulled with stakes and intend to make the domicile your legal home, not physical, but legal. They are wise to someone that might go and set-up a domicile in SD in order to avoid certain taxes, maybe no taxes, etc. And, people do this and it saves them money. It becomes the cheaters that cause an issue, the ones that aren't full-timing and traveling but trying to work a system they aren't entitled to. The more money they have, the more they tend to try to cheat the system.
The one thing I can tell you I saw the most people get caught on was having a driver's license from one state and tags from another. Also, people who had out-of-state tags and sat too long in one spot, since there are requirements involved. I know with CA, if you take a paying job, make sure you read their laws as to how long you can be in the state before registering your vehicle there.
This is all VERY complicated. And, yes, the laws can be ignored if someone is comfortable in doing that.