I will say that the Solved plugin and Assign plugin help a lot. If a bug is reported for example, the admin assigns it. If it is solved, then the solved would auto close the topic after 24 hours. The solved shows a check mark next to the topic in the topic list.
Rather, the only purpose of the tickets plugin in this case is that it creates 3 tag groups - ticket priority, ticket status, and ticket reason. We can create tag groups also without plugins. I think this is more of a convenience to see all topics associated with a ticket from the admin panel.
If you use the tag icons theme component, you can color your tags and add a ticket icon for it as well, with tags that you created without the plugin.