@ujm is talking about someone who is shomer shabbos.
While I don’t know what sources you are referring to, I can only imagine that you must be talking about the question of i one can invite a secular jew to shil knowing that they will drive to get there. That is a very different question that centers on the status of secular jews today vis-a-vis the laws of tinik sh’nishbu and if we have any concern for “arvis” towards such profaned “jews”.
The minhag to invite would seem to point to there not being arvis even if the “jew” is coming to shil on shabbos…