It's one thing to use baby talk with an infant, (hence the baby talk moniker), and another to speak that way to a child that is actually learning to form words and construct a sentence.
Use whatever voice you prefer with your pets. Dogs actually enjoy the soft sounds of baby talk. A bit of brilliant manipulation of humans by the dogs.
“Accidents” happen. (I used to be a medic, and I firmly believe there is no such thing as a true “accident”.) If you look at the whole scene, you can find the point on the timeline up to the “accident” where the patient got stupid. And then I had to be there.
And yes, drunk mowing is a real thing. I had to overturn a riding lawnmower once to look for a bit of finger. But the two fatalities involving lawnmowers I did, had no alcohol involved—just stupidity was all that was required.