Standalone players have varying ability with DVD-R / DVD+R media, and it may even depend on the writer used as well.
So the rather perverse answer is, it should, unless it can't.
If you have a dual format (+/-) writer, it's as well to try both formats with a tricky player - or look it up
http://www.dvdrhelp.com/dvdplayers.php - to see what you would expect it to handle.