There's eg https://summit.sfu.ca/item/11130 from a Tamara Smyth and Frederick Scott; Google scholar shows some citations but not necessarily conical brass in particular. That link is about trombones, so also not conical. (I read that and tried to implement some stuff in it, see https://nuchi.github.io/trombone/ for a browser-based playable version.)

Conical and cylindrical bores definitely differ but I don't see why they'd be different specifically with respect to the lip interaction, can you say more about that part?