I dont think showing wartag its a good idea, maybe adding the choice to show it or not its better. If im with an alter i might wanna feel like playing with my new character, not feeling that im with my mains alter. Same way i remember at the beginning of wow classic a guy in my server who did a silly coment in the world chat, became famous in the server and everyone made fun of him. He had to delete and restart his character with another name, i guess that he wouldnt like the idea of being recognizable even then.
Un saludito a josenoseque que se llamaba el tío.