There's no CB template assignment feature. However, there is a global config variable that controls the template output so you maybe able to use the same trick that CB Template Changer uses using CB Auto Actions. Example as follows.
Type: Code
Triggers: onBeforeDisplayUsersList
Access: Everybody
Method: PHP
Code:
Code:
global $ueConfig;
$ueConfig['templatedir'] = 'bootstrap';
Note the above is just an example and I've no idea if it'll actually work as desired. For templatedir you need to supply the actually template value and not its name. You can find the template folder names at the below location.
components/com_comprofiler/plugin/templates/
Once the above usage is tested working you can go on to add conditionals to check against [get_listid] to load CB templates for specific userlists, but don't add conditionals until you know the usage is or is not working first.