If you look at the complementary list of US shows based on UK shows, you'll find plenty of game and reality shows as well. There have always been plenty of game and talk shows, so of course plenty of adapted shows in any country from any country will have plenty of them.
If you want to convince me, don't cherrypick to fit your existing bias. Do your homework. Compare both lists, and a fair sampling of the other lists of adaptations in my second link, and work out what percentage of scripted shows to unscripted shows is in each list. If you can prove that the US adaptations of foreign shows have a disproportionately higher ratio of scripted shows to any of the others, then you'll have evidence that you're not just seeing what you want to see.
Prove it. Put your money where your mouth is and show me the rule. I gave you the data, now do the work. Otherwise don't expect me to take any blanket condemnation of any entire nationality seriously.