Yes we do still invite those people. I dont associate love with gift or cost. Sometimes people have majbooris such as health problems, money problems or any other problem because of which they cant go out and buy a gift for specific occasion. Also I have met many people who really dont have sense of buying gifts 9my wife count me in them too) but that does not mean that they dont love the person they are giving gift too.
If its a thoughtful gift, thats wonderful and if its a recycled one, we dont care much.