I don't know if it's a control issue. There's a lot of factors involved. It sounds more like not understanding the whole deal about cycling, equipment, and all the accompanying stuff, as well as some jealousy. Truthfully, I would be pissed if my DH, suddenly wanted to spend a lot of time away from me, doing some "hobby." I know, this sounds weird, but we spend just about all of our free time together, well, cycling, and doing other sports, as well as a lot of socializing with friends, eating out, etc. We both have intense jobs and I am happy to spend my time with my DH, ride our bikes, and do other cool stuff. Some people think we are "weird," but I really have no desire to spend time going off with my friends or work colleagues. I do go out to lunch and other stuff with women friends occasionally, and i ride with a few people, but generally, I am happy to be with him. Our finances are joint and we basically have the attitude of unless it's a major purchase, we each buy what we want. Of course we are at the stage of life that we can afford to do this. Sure, some of DH's home or electronic things are kind of dumb in my mind, and I don't use half the stuff in my house, but it makes him happy.
If money isn't an issue, then I would try to dig deeper, to see what the issue is. You may need some brief couples counseling to solve this, as it's really not about cycling, and it will bubble up again.