Many people, in many locations probably ought not to own dogs, as giving the animals a good life, and being an otherwise responsible owner may simply be too great a challenge.
That said, unless the City were to enforce restrictions on dog ownership (unlikely); Parks planning needs to think about the implications given widespread dog ownership.
Over at Planning, the requirement for pet relief areas in new condos of any size is one way of addressing the issue; but doesn't help the previous 2 decades of builds where that went unaddressed.
On the Parks side, DOLAs (or dogs off leash areas) are relatively rare in Toronto, particularly in the highrise communities that arguably need them most.
One of the challenges is that DOLAs, when popular, generate lots of noise and traffic and the result is lots of complaints from neighbours, particularly in small parks.
So policies now exist largely precluding new DOLAs anywhere near an actual residence.
The policy itself probably requires a re-tweak; but in the meantime, this is but one more reason I highlight the need for larger parks. Small spaces simply can't accommodate a DOLA under current rules in most cases
never mind the practical limitations.
The nearest DOLA for residents surrounding College Park is probably Allan Gardens. It's not a huge walk, but in anything but idea weather, a lot of people aren't going to make the 1.5km round trip that makes a 20M Dog Park visit a 45 minute time commitment.
***
None of that is excuse irresponsible owners; nor to suggest we can't create park designs that are damage resistant, yet beautiful. We have, and we can.
Rather, it's to say, the best way to achieve optimal results is likely a carrot and stick approach; one in which you make being responsible relatively easy; and being irresponsible more difficult.