A Tshuveh from Rav Yuda Blum, Hanshovitzer Rav, and son of the Beis Sheraim, zt"l, where he discusses giving aliyos to those who are pasul L'edus, such as a kohen who marries a grusheh, or other people who transgress the Torah. I would assume that in those days they were not Tinokos SheNishbu, but rather people who "knew better." Still RYB finds ways to be mattir. There's a z'man gromo'dike mekor, with the mention of the "medrash aseres hadibros." What was brought to my attention as the main point is the fact that he makes use of the fact that MECHALILEI SHABBOS etc. WERE given aliyos and maybe even counted for minyonim! And again, we're not talking Tinokos SheNishbu here, people. And WE ARE talking post Teilung Hungary here.