That statement reflects a bias, not a fact. Assuming trouble in advance unfairly penalizes responsible dog owners and ignores the principle of presumption of innocence.
Most dog owners are very aware of their dog’s behavior and won’t bring them into spaces where they might cause disruption. Well-socialized and balanced dogs don’t create chaos — they coexist peacefully. There’s no evidence to suggest that allowing one responsible dog would suddenly lead to disorder.
And if more well-behaved dogs did come, it would only add to the many well-documented health and social benefits that dogs bring to communities — something to welcome, not fear. For those who prefer not to interact, that’s entirely fine too, he's probably ignoring you anyway. Mutual respect and peaceful coexistence go both ways.
“If we let your dog in, everyone will bring theirs and it’ll be chaos!”, that’s like saying “if we let one kid into the library, suddenly it’s a daycare.”