Hmm I've only set it up once so far on the Tonal but didn't experience any issue. On my carabiner, the T-clip is on the top part of the carabiner and the bar opening is on the bottom.

I know there's a huge variety of carabiner sizes as well but I'm not sure if there are standard sizes. Here are the ones I bought: https://www.amazon.com/gp/product/B07Q3S8ZHX