Can’t speak for others and I’m very technically not a convert but an extremely late revert (baptized a year after my birth to make my grandmother happy and never brought up in the faith at all, not a word). I attend TLM exclusively because it’s an option for me and have done since the day I was confirmed.
When I started in RCIA at a OF parish I quickly ditched the children’s bible printouts and teen catechism and used a Douay-Rheims bible and A Brief Catechism for Adults by Fr. William J. Cogan pub. 1951/58 and a Roman catechism. I started reading and listening to St. John Chrysostom at the outset. Tradition is exactly what I wanted, not the church of what’s happening. That said, I won’t leave no matter what.
I truly believe God brought me (nearly kicking and screaming) into the Catholic Church. I had initially intended to attend a church (read: any) as a means of joining a group of people who were more conservative in their values than the typical people of my locality. Like a social club. I didn’t have any faith, natural or supernatural. I was mainly looking at fundamentalist (not mainline, lesbian ministers and rainbow flags on the church, which so many seem to have) protestants (which held no appeal other than “conservative” values and EO, which I knew little to nothing about, but seemed aesthetically more appealing to me. During this period I actually gained faith. I believe it was supernatural but regardless, it made this search more important because now I had to find not a church that fit my tastes, but that was the true church. I was still quite leery of the Catholic Church for all the problems with which we are all familiar. I really didn’t want it to be the Catholic Church. It is. I submitted.
I’ve had to submit and jettison a lot of things about me and my preferences and desires since then and I haven’t regretted it once and I’m incredibly grateful that God was kind enough and merciful enough to bring me to His Church and show me His way and gift me with His Sacraments.
Not sure what prompted this “conversion” story, I guess it felt like part of why I “lean” traditional though I’m not sure that’s clear in the telling. Oh well.