That kind of proves my point. Going to a specific Trad chapel "for the kids sake" need not be a bad thing -- but it does suggest I'm right, that the person didn't sit down with a stack of books, and with the impartiality of a compass needle, decide which way they were going to go.
I'm not talking about the essentials of the Traditional Movement by the way -- only the "extras" or "accidentals" like Missale version, Pope question, Holy Week version, and Dialogue Mass or No. Even the more subtle elements of "what to consider Vatican II" -- as long as the New Mass isn't coming into the chapel in question, most parishioners don't care you have the extreme "Vatican II Delenda Est" position, or the more liberal "Vatican II is 90% good" of +Fellay, or the typical Indult/conservative position "Vatican II was never properly implemented"
My point is that Trads like to pretend that their whole position, essentials and accidentals, was reached impartially after much study, prayer, and consideration -- but usually it falls into your lap, due to your spouse, family situation (having kids, for example), geography, or countless other happenstances and coincidences.
Then after attending a chapel for years, you obviously aren't going to have an aversion to that chapel's official position, even if you agree somewhat. I knew Sedes who attended my old SSPX chapel -- but they weren't the dogmatic variety, or the Cekada style "anti-una cuм" variety, since they want to an R&R chapel every Sunday, where the priest mentioned the Pope in the Canon of the Mass. Even if such a Sede doesn't "convert" to the chapel's position, he will certainly develop a tolerance for it: they're not that bad, they're not the bad guy, not a big deal, or something along those lines.