You are making the leap that it's for name recognition, that may be so. What I'm struggling with is it is not clear to me that, that is his goal. It may be due to a lack of following the topic. All I found on this was:

https://www.mychamplainvalley.com/news/local-news/liam-madden-may-not-accept-the-republican-nomination/

https://www.wcax.com/2022/08/10/madden-face-balint-us-house-race/

https://www.sevendaysvt.com/vermont/madden-says-he-will-run-for-congress-as-the-gop-nominee/Content?oid=36219372

and a few others, that regurgitate the above content. From that what I can know is that Liam would take the nomination or decline in order to best position him to win. This could be viewed as gaming the system but is not necessarily the accurate conclusion. It is his stated open that he is anti party, so he is going to try and mess that up as best he can, I have not considered that ramifications of that heavily and that could be bad. But it is still not clear that he did the above for name recognition, sure that's a possiblity, but with the information I have, which are the links above, I don't see how that is any more plausible than say he wants to destroy the two party system, or he really wants to win.

If you want to help, please provide me with information. If you think this is something obvious, then there is clearly some information I'm missing. Otherwise thanks for the discussion.