What I'm wondering is if he pees within the root zone or drainage area of some of my more treasured plants, let's say Japanese Maples, Hebes, or Spireas, for example, say 2x a month, is this a threat to the health of the plant?What if it's 6x? 12x?

If this is a problem, is there some lawn and garden product I can purchase than can neutralize or mitigate the problems or threat that dog urine and the chemicals it instills into the growing beds (ammonia?), can pose to my plants?

When I had a larger male dog and a smaller yard, I put sheets of plexiglass in front of the plants he liked to pee on repeatedly. You could still smell it, and the grass died, but it saved the shrubbery.

I would imagine that a Japanese maple would be pretty susceptible to damage, being so shallow rooted. It's not the ammonia so much, that breaks down fast, as just way too much nitrogen in one spot. I have not known anything to counteract the excess of nitrogen other than lots of water. My grass at the base of my back steps was fine over the summer so long as I hosed it down frequently, in addition to regular lawn watering.