Yes, I think you should. I mean, they are steps in the right direction. She doesn't have to be doing cartwheels, just do the right thing.
I would just do a follow up of checking her phone.....say about Sunday night before you go to bed. By then, the withdrawals will be kicking her butt and she'll think she's convinced you that she's not contacting the OM. So, when you check her phone you will see if #1) she thought that's all it took to convince you AND she's back to contacting again; or #2) she is sticking to the agreement. Of course, she could take it deeper underground, but you can't make that determination based on just looking at her phone.
I know you want to help her, and your biggest help will be in keeping her preoccupied with family activities, going out, and listening. Don't fall back into passivity, continue showing strength, and don't fall down on the transparency. Give her credit when she earns it, but you can't afford to let her slide by or she'll be right back to the A again. For the most part, she will have to face the temptation, bite the bullet and get through the withdrawals.......and you can't do it for her. This part is her problem. Yes, you made mistakes and contributed to the breakdown of the MR, however, this particular part of the work (the withdrawals) can't be done by anyone but your W. In fact, it would be a mistake to try to help her too much in the area of withdrawals. IOW, you wouldn't want to start making too many allowances for this or that excuse she might give.
It could be compared to parents who are overprotective of their kids, especially to the point of trying to do everything for them. (Overprotective is the word that was used back in the day. It may be different these days). In order to have a healthy adult child, a parent has to stand aside and allow him/her to deal with circumstances. That is similar to the LBH who has a WW. He can try to encourage and support her, but in the end, it is his W that has to go through the pain and temptation.
It is not about what you feel should work in your M. It is about doing the work that gets the right results. Do what works!