That's how it is with my mother and I, if I don't make plans to see her or invite her over then we just don't see each other. Even though she doesn't show up to half the events I invite her to (like my kids bday parites). Of course if I don't make plans and therefore don't see her for awhile then she stews and resents me for it, and accuses me of not fitting her into my schedule. We don't really have the best relationship so this might not be helpful to you lol.
My inlaws are the complete opposite, my MIL and FIL make all the plans, invite us, try to make it work around our schedules. My husband doesn't plan anything he just shows up. It works great, but now I do wonder if they ever complain that they have to make all the plans??
Honestly with any adult relationship it'd be great to meet halfway.
Also think you have to consider people's personalities, some like to take control while others sit back and go with the flow. If two people are the laid back type then neither would want to do all the work.