I don't know anything specifically about TI strings on a Tele, But I have used lots of different TI sets on various guitars. They are my favorite strings, despite the cost, because of how good they feel.

Anyway, it seems to me that TI strings are more prone to breaking when loosened and then tightened up again, like for working on the guitar. This has happened to me a bunch of times with TIs and almost never with other strings. Maybe they use a more brittle alloy, or maybe it's my imagination.