You don’t need to bring it to your audi, but you can ask your audi to set it up properly for you in the Genie 2 software on your HAs.
Below is the Genie 2 screenshot for the TV Adapter 3.0. To get more bass perception, set the Power Bass value to High. You can also opt to have the Sound Quality to be Fuller instead of Brighter, which may also help with the low frequency perception. If the volume is low for you, you can also adjust the Loudness setting on this page as well.
Remember that content also matters. If you’re watching TV content that has a tinny recording to begin with, then it’ll sound tinny no matter what you do. So double check your content to make sure it contains the full frequency audio that you expect the TV Adapter to deliver.
But in general, almost everyone I hear on the forum praises the TV Adapter 3.0 for its sound quality. So something must not be set properly in your setting. And again, the setting is stored in your HAs, not in the TV Adapter. So no need to bring it to the audi, but I don’t see why it would hurt. At least you can do an A/B comparison between yours and your audi’s to make sure they perform the same.