newname12345 of course it is not wrong to make friends any place that happens to be natural to you.
I have never made a new friend in a park. Neither has my DH, and it looks like the op feels uncomfortable with this, so that is how it is for us!
Also, making a new friend for yourself as an adult is quite different to making s play date for your child, which is set up with your child's best interests at heart.
It's ok for some of you to meet people in parks. But but the same token it is also ok not to want to do that, surely.
I have no history of abuse but am still very wary of strangers. I am more wary of men I do not know than women I do not know.
The people I made friends with when my child was tiny were part of NCT and anti natal or post natal groups. Or toddler's. Or school. Or my work place.
There is no guarantee these people were in any way great but they were not 'random' in the sense of the word. There was already a connection.
I actually think some people here are choosing not to understand OP's concerns. But 'OP: your mind is your own and you can decide what feels right.
Of your DH wants to go down the pub with this bloke, great. Of he wants to arrange a play date then you could tag along and see if the kids do get along. Etc. It's ok to be cautious. It really is.