I agree, but the correct way to do that is what the Play Store does: display what the user asked for first and unambiguously, and AFTER, display some ads, clear

I agree, but the correct way to do that is what the Play Store does: display what the user asked for first and unambiguously, and AFTER, display some ads, clearly flagged as "Ads: other content that might interest you". Apple doesn't even clearly flag them as ads.