Personally I bpught two pairs of children's scissors when the oldest two were small, not wanting to be responsible for any injuries. I think they have all used them when small. After about age 7 they gave used small grown up scissors and they are very fussy about how to handle them or pass them (ie holding by closed blades when passing) as taught at school. If a parent was concerned about anything I was doing I would of course stop immediately, not argue, even if I thought I was right!
Like others I get very nervous about playgrounds (children running behind swings , falling off things etc) but the parents seem very relaxed!
I do sometimes forget to turn pan handles away from edge when cooking, not being used to small children about very often, and have been reprimanded. 