I’ve got a textured PEI bed and when I’ve printed TPU, the adhesion has been perfect, i.e. good enough that the part wasn’t going to go anywhere unless I wanted it to, but still easy enough to remove when the print was done and the bed had cooled. I guess it could vary from filament brand to brand, so it’s possibly worth trying the same brand as I used, which was cheap Geeetech stuff. It’s £8 a roll, and I’ve used their cheap PLA for ages. I wouldn’t recommend their ABS+, though, as it seems to break down at the lowest temperature that gives reasonable layer adhesion.