This is a fascinating subject for me! I subscribe to the Houzz website and "No shoes in house?" was a poll once ... I was amazed at the strong feelings, both for and against, that it generated, I was born and brought up in the UK and have since lived in six different countries and in none of them did it ever occur to me to remove my shoes when entering the house (mine or anyone elses') and I don't remember anyone ever asking me to.
Perhaps it's to do with the climate and the type of flooring? I know that many Scandis have a no-shoes policy, as do Canadians. In Spain most of our houses have tiled floors so they're easy to clean and, erm, anyway I don't think a little bit of dirt ever harmed anyone ... I think I would feel a bit put out if as a guest I was asked to remove my shoes - it would suggest that you cared more about your expensive decor than my comfort (probably true, actually!)
What's wrong with wiping your shoes on a doormat?