Everywhere I go supports magstripe. An increasing percentage support chips but I still see terminals which don’t, or more commonly, where they have a sign telling you not to use it because it’s not enabled or broken. I’m assume there have been a lot of slacker IT departments caught out by these upgrades since it’s usually big chains which have problems.
Try swiping sometime. In my experience if you have a chip card and try to swipe it, the reader will reject the swipe and tell you to insert the card instead.