I think it's more than a little ridiculous for a neighbour to complain about dogs playing. If it was a repetitive "BARKBARKBARK" that continued on and on, then yeah, that would annoy me too. But dogs playing generally do not bark non-stop. And if they do, their owner should be on top of them for it IMO. My dogs are very, very quiet to the point of neighbours being surprised that we have three large-ish dogs. I can be a bit paranoid about barking dogs after living beside people with obnoxious dogs that annoyed me and the entire neighbourhood/s for most of my life. The last thing I want is for my dogs to be the ones annoying people. But, they're still dogs and they definitely do make some noise. If I feel they're getting overzealous about it though, I interrupt and tell them to knock it off a bit.
The last house we lived in the stupid neighbours tried telling me to please keep my dogs quiet and inside from 8am until 5pm. Um, no. Why did they request this? Because their dogs needed to stay outside while they were working so they wouldn't destroy the house and the blinds by running and barking at passersby. So, instead, they put their three dogs in the yard to fence fight with mine, bark at everything, and howl constantly. Meanwhile mine ignored their dogs (and if they did get lured into fence fighting I was there to tell them to stop), played quietly together or with me, and were only out intermittently for bathroom breaks or to play for a bit throughout the day. I was not going to keep them cooped up all day because they and their dogs were idiots. These neighbours tried blaming my dogs for being the problem and I was so mad. I can't stand nuisance dogs and my dogs are not nuisances. I think these types of people just like to get mad at other dogs' owners because their dogs are easily set off by other dogs and people having fun or enjoying their yard, which makes their dogs harder for them to control. Which is probably their fault.
I can't imagine people getting mad about kids playing either. I hear kids all the time in my neighbourhood having fun and while they can definitely be loud sometimes, I wouldn't tell them to keep it down unless they were being really rude about it or something. But in all the years we've lived around kids, I've never felt the need to tell anyone to tone it down.