I didn’t mean to get so personal. Sorry. I’ve just seen the Ran Thrown around so many times it was frustrating. Most Reb Chaims are a Mesorah and this one is no different. Any of the Brisker Mishpacha knows it. I can’t help if it has gotten misquoted.
Reb Chaim, as i understand it, is saying that an action that will leave you in the exact place you started is useless and can’t require you to do anything. For example, if its Succos and I have only a fruit that is a ??? ?????, taking it will be of little help. Before I take the fruit I am ???? to take an ????? and after I take the fruit, since there is a ??? ??????? ?????? I’m still obligated to take the fruit. What did I accomplish in taking the fruit and you enter in to a circular world. In the case of Rosh Hashanah In the end of the day you will know if you accomplished the Mitzvah and end the circle. It makes a lot of sence .
With that said I do agree by Tefillin this is certainly not the case.
Also you are confusing two points. There are those that ague one MUST wear ????? because of ??? ???????? ??????. Rabbi Miller is just saying according to Reb Chaim you don’t have to. However all this does is explain why one is Not ???? to wear ?????, there still might be what to gain. If its my only esrog, while not ???? to take it, I still might be ???? the ???? ( I don’t honestly believe that any one that was stranded on a desert Island with only a ??? ????? wouldn’t take it.) And anyways many think there is not much of a ??? as you point out.