If the dogs are well behaved, I don't see a problem.
But no one's complaining about the ones that are well behaved. They're complaining about the ones that aren't, the ones whose owners let them run rampant off the lead knocking over small children and widdling on people's picnics and then laughing, because "oh, Brutus is just playing!"
And just like with the parking around the school thread, of course the individual person thinks "well, I'm obeying the law/controlling my dog/parking considerately/remaining in control of my dog" but these kinds of complaints, rules, and edicts aren't aimed at you, specifically. They're aimed at the twits, wallies and scum mentioned in the previous paragraph, who let their dogs create a problem and then treat everyone else like the problem is the complaining party, not precious doggo.
Dogs, kids, humans in general - if you don't like them, avoid them. On paper it's good advice. Until you get people like some on this thread telling you you're unreasonable and ridiculous for being afraid and avoiding dogs, selfish and entitled for avoiding children etc. Until you get people going "well, that rule doesn't apply to me, so Fifi Doggington the Third/Little Humphrey can certainly come to this establishment despite all the signs saying dogs/children are not allowed, and anyone who doesn't like that is the problem!"
How are you supposeld to avoid (by going to a place where they're not alowed in), when there are so many people who will just say "stuff everyone else, I'll do what I like"?
Dog owners, I have a dog. But I also have empathy, compassion, and common sense. I adore my dog coming to greet me when I come home from work, all wagging tail and excited panting and little doggy face smooches. But I can see how other people may not feel the same way. I can see how a toddler might not see the happy doggo I see, and might instead see a slobbering tank bearing down upon them.
In short, in this matter as with so many others, people need to STOP and recognize that you're not the only damn person on the planet, and other people's wants and needs aren't "ridiculous" just because they're in opposition with yours. We're all stuck here, we should at least TRY to get along, even just pay lip service to not being self centered piles of human excrement.