It's all about what they need, not what may be best for you.

If they were really interested in your childs continued development (as they say they are), they would let her play, and they also would have another opportunity to convince you to play with them.

But no, they would rather "burn the bridge", as they know there will usually be others to take your place.

But there have been times when "others" were not there, and
they come calling and begging, but still demanding.