Everyone at this company desperately wants to be anything other than customer facing role, doesnt matter what it is, if there is a job opening and its not you being a punching bag in claims for our customers, vendors, managers...then its very difficult to get, as everyone with any shred of competence and social sway has likely been "tapped on the shoulder" and likely why an opening is even posted.
With that said, they typically like managers to get in at ILR/Express level, and the TM role there is a revolving door, much like every other job in claims.
From what ive seen in the last 5 years, the TM role is reserved for people who kinda suck at claims, but act like a kindergarden teacher, and is bubbly...or checks the boxes (you know what i mean). Skills and education within management need not apply, its not a factor or a care. Good news is if you ever want to get in above a supervisory (baby sit entry level workers) role, youll need to go through the TM song and dance, and its VERY restrictive who they let in internally. External applicants would be the best way IMO, unless you have a friend in management who can vouch.
All said, it works nothing like it should for a functional and successful company. Good luck. If you do get in at manager level, I pray you dont get a psycho SM to work for, as the TM role really can be a brutal nightmare depending on who you work under. Lets just say the comfy to work for departments dont really need to hire...