Walking path at my tennis park is for people only. No dogs, no bikes, and I'm not even allowed to skate it. Personally I'd like dogs only at dog parks but we're not there as a society.
We need to get much safer dog parks. Too many of them are just huge areas of off leash dogs and it's terrible for the dogs involved. It breeds bad play behaviors, dog-dog reactivity, spreads disease between dogs, and encouraged bad owners who just let their dog run free unsupervised.
Dogs that spend a lot of time in dog parks are way more likely to behave badly when they see other dogs when they are out for a walk.
It's so weird for me to see anti dog park talk on the internet because my experience has been very positive with dog parks in general. Almost all the dogs are basically fine, serious behavioral issues are rare. Sometimes dogs get a little too rowdy playing but owners are always quick to step in. I wonder if it's a regional dog owner culture thing (I'm in a suburb of Seattle for reference).
Dogs aren't a native species and can in fact be ecologically damaging. Squirrel population control is a question beyond my ability. Butterflies are both native and useful. Hopefully this is helpful.
No it's not, your local tennis park has no ecology to speak of that could be disrupted by dogs. You just don't like dogs and instead of stating that you want your preference imposed on everybody else just because it's your preference, you have a list of dubious reasons why dogs shouldn't be allowed here or there.
???
Having a no dogs allowed rule on a walking path at a park feels so weird to me.