My baby girl isn't old enough yet to have "play mates" at the park because, she is only 8 months old but, yes I get that sometimes. Like If I am going down the slide with her, a kid will say "can I get on the train" and I just say "sure" but, sometimes it gets annoying because, I just want time with katelyn haha. :)
I think some kids do it because, their parents don't really play and they just watch them. Other kids do it because, they are bored and think playing with you would be cool and fun...which is fine but, when their parents are sitting on the bench texting or just sitting there...it's a bit odd to me.
I think when my daughter gets older we will take her to Parks more often but, right now she has gone about 5 times since being born. We have been trying to get there once a week but, Mommies all get busy! I take her on walks and I get some hikers coming over (kids wanting to say Hi) but, I live in a small neighborhood and when the park isn't crowded some kids come to say Hi but, when it is they just run around and play with whatever kid comes their way :) haha
I think it is cute when I get some cute little girls and boys at my feet asking me to push them on the swing and I am like looking around to find their parents talking on the phone or visiting with other parents while looking for their kids that I am pushing haha :) fun times at the park!