I see it as a normal phase for the WS once they realize the enormity of what they've done. Also RAs are real. It's his insecurity setting in. This phase doesn't seem to last as long as the BS's insecurity.
It's easier to fix an M than it is to fix a broken cheater but I don't see anything wrong with making sure you answer when your spouse calls or respond promptly to a text. A plan of action should be more thoroughly discussed between the two of you, especially where work constraints might interfere with communication.
R is no time for games. I'd find a mutually satisfactory arrangement today.