Yes agreed all points.I'm not married but I could never imagine deciding I don't want to have sex anymore and expect that my partner should never have sex again because he married me. That's crazy to me.
I feel like if your wife is tired of having sex with you why not just ask her, hey, I know you don't want to have sex with me anymore but I need to have sex, can I go have sex with someone else? Not for love, not to start another relationship. Just for sex. If she doesn't want to have sex with you, it might be a relief to her to know you won't pester her for it and you can just go about your marriage without that issue ruining the rest of it. Maybe offer to send her to the spa when you are out having sex so you both get to relax how you enjoy then come back together.
But to answer the question, if your partner doesn't know or give you the go ahead, it's cheating. Obviously.
Mind you that thing about saying to the most likely soon to be ex "Ok if I start fucking other women since you joined the nunnery?" Statistically that puts things on a knife edge. Almost quantum mechanical in a sense kinda like Schrodinger's cat - is he dead or alive.
One of those teachable life moments I suppose.