Sounds like you are following the correct steps. I would not “tie” ( straight or cross tied) a horse without Blocker tie rings…the Clip is similar but I think the Blockers are easier to use. The Blocker tie ring can defuse a lot of potential wrecks and or loose horses.
I think cross ties hold the horses head differently and I had one claustrophobic little mare that hated being “grabbed” by both side of her head. My bad…I assumed that since she straight tied, she would cross tie. She pulled back, broke the halter and left. After that, we went back to straight tying until I got a couple Blocker’s.
After that and some retraining, I was able to cross tie her more safely.
My current mare is a sensitive reactive thing. She would pull back in some circumstances. I started schooling her with the Blocker ties and now, I can now solid tie her (straight or cross) without issue.
Anyway…I am totally sold on these ties rings as a safe training tool. I know there some horses that will pull out the rope but for most horses, they are great. I put them at the tie wall at my boarding barn and I have them in the trailer so they go everywhere with us.
Susan