It's entirely natural that some people become "initiators" as a relationship develops. At the beginning of a relationship, person A will initiate X% of the time, and person B will initiate (100-X)% of the time. Unless X is exactly 50 (unlikely), this means one person will naturally initiate more than the other. And then, over time, the person who initiates less will realize that the other person tends to initiate, and will come to expect it.

Notably, that doesn't mean that the person who initiates less doesn't value your company! (Of course, it also doesn't mean that they do value you, only that the frequency of initiation is not a good proxy for the health of the relationship.)