I never heard either of those things when I was a catholic. It looks like, maybe this was added after I left, or maybe it just wasn’t emphasized in my Catholic Church.
Someone said, and it may very well be true, that Mary is not mentioned in scripture, beyond being with the disciples, because God knew some would try to turn her into a demigoddess, and He didn’t want to give that false doctrine any credence at all. Just my opinion, but for those who say they don’t worship Mary, I would say, if they believe she is anything MORE, than just a mortal sinner, saved by grace, THAT is worship. 🤗
The mother-son co-god belief is very common among many pagan “faiths”.