By default, the PHP based theme templates default to showing the first 2 models assigned to a set. If you wish to show more names you can chnage the settingin the template code. 

In the PHP based templates e.g. update_table.tpl is the call to load the model list template:
<?php LoadTemplate("globals/model_list.tpl", ["set" => $set, "modellimit" => "2", "class" => "tour_update_models"]); ?>

modellimit" => "2" is what controls how many names show