It depends on the state and even county whether they post it to NCIC (the federal database). There's a thread somewhere on here about extraditon of warrants. Like Georgia posts everything, even shoplifting, to the NCIC, but they dont bother PAYING tp extradite a shoplifter. So you can sit in jail for up to 60 days initially , plus an additional 30 for "determination" if your name is on NCIC warrants, without ever having the state you're wanted in to come and pick you up. You may be released earlier than this, but 60/30 is the official limit for any place to wait for a warrant response.
This all comes from my mom who took a law course last year, I grilled her on it
Be careful a lot of info out there is inaccurate. Most states wont post on NCIC for simple assault for example, has to be some combo like aggravated assault. But they can and have the choice to do so.
Also theres regional databases. I dont know much about those though. Many states hae certain rules on picking you up from neighboring states but not others