It sounds like the issue is that you have already vetted your users and should start them at TL1 or TL2. It sounds like the problem isnt’ what they are called, but that you are defaulting to TL0
You can try to change the words if you want, but I think the issue is not just the words.
A bunch of effort has gone into making these trust levels thwart spammers without annoying actual users. It mostly works. If your community is different, then you will need to tweak the settings that control the trust levels.
As discussed, you can rename them, but it will be really difficult, as those words are used in a bunch of places, and then your community will be the only one in the world that uses those words, which will make it difficult for anyone to come here and get help.