I disagree.
If he is an analyst, which is what we are discussing, I don't see any reason he needs to be coaching during the games. In fact, he probably is expressly prohibited from coaching during games.
If Tom O'Brien gets the HC job at BC, I suspect this is moot regardless. And he might prefer to be an analyst for one of the SEC schools he has worked with in the past anyway.
Or he might just decide to retire and enjoy life. I would guess he has made enough money that he is already set for life.
I don't think Syracuse has ever hired an 'analyst' for football that is an ex HC with a ton of experience. It is something the big programs do. With Coach Brown in charge, it seems like he is doing things like the big boys. I suspect he will bring in an analyst or two. If he only brings in one, it should IMHO be someone who has been a DC for a long time, preferably in the ACC.