On the ring question, it really is up to you. There's no right or wrong. Might there be consequences? Sure. But you don't know what they will be except in hindsight.
If you leave your ring on, your H might continue to feel pressure, then again, he may recognize that you continue to stand for the M and that ultimately, it will be safe for him to return.
If you take the ring off, your H might feel less pressure, but then he may also think that you are now moving on and rather than asking, just assume that it is too late and continue on his path to D.
What ever you choose about the ring, do it for YOU, instead of doing it to try to get a reaction from your H.
While you are trying to decide if your H is MLC, know this about MLC. Nothing that the LBS does will speed up their journey through the tunnel and back into the LBS' arms.
And while it may seem like pressure from the LBS could slow down the process, it is possibly more likely that all it does is cause reactions from the MLCer and perhaps causes them to go into hiding, but their time really is their time, to do their own work. How ever long that may take or however that might look, for them.