I have a 120 and HAD a LT in there and then I added my BTA. They lived together for 2 days and then the LT got too close to the BTA.
I now have just one anemone in that tank.
As for the clowns, they may switch back and forth or just keep the one they are in. I had a true perc in my other tank with a green carpet and then I added a Magnifica. The clown was with the carpet for a couple of years but she couldn't resist that comfy Magnifica. She would just switch back and forth and would chase fish away from both of them.