I've never had a debit card frozen, but that's most likely because I exclusively use credit cards. I have had my credit cards frozen while road tripping multiple times (hence why I carry so many), and then also for stupid stuff here at home. I remember once some years ago my Capital One card was frozen because I went to the mall and made 12 transactions in a day... all of which came to barely a hundred dollars, since I was buying stuff off the 70% off racks of stores and buying snacks and what not. Like, seriously, if someone had stolen the card, I don't think they'd be buying off the final sales racks. I've certainly never experienced what some people are saying about being told the card would be re-frozen every time you used it in a different place, though. Once the credit card companies were informed we were traveling, it didn't happen anymore.
I always have and always will very strongly recommend against using debit cards for daily transactions (whether you're traveling or not), though. I've had my credit cards stolen twice (not physically, but unauthorized use) and it's very simple to get straightened out. Most importantly, while I'm getting it straightened out, I only lose the ability to use that card, not the ability to use my bank account and pay my bills. I exclusively use my debit card to get cash (from my trustworthy grocery store or from an ATM). I get a ton of cash back too, and get to have five-figures of available credit for an emergency. I often even carry a balance and avoid interest completely and legally. But I'm 100% comfortable with how I manage credit cards, since my background is actually in finance (you'll never guess meeting me now, but watching the financial rape of Americans last decade is a massive part of WHY I'm so unconventional now).