Avoid evolutionary arguments, they're "just so" explanations that can be twisted to fit any narrative.
Tigers, and housecats, don't have the digestive system to get sustenance from grass. A cat swallowing grass is kind of like a chicken swallowing gravel; it's not food.
If tigers could eat grass as opposed to just swallowing it, they would have no reason to hunt anything; they're more than capable of driving away most things that would compete for their grass.
Chewing is an important way to increase the amount of nutrition you get from a fixed amount of food. It isn't itself food.
Lol. Yeah, they eat grass and then vomit it out. Just like my cats do. Helps them relieve themselves of furballs.
It seems like cats may have actually domesticated humans.
I have hunting dogs and they can spend several hours going after a mouse, and their success rate isn't very good.
Plus, large animals are poorly Suited to hunt much smaller animals. Speed, momentum, and anatomy are not in your favor. Imagine driving a semi truck and trying to run over a mouse
But your dogs, do they hunt with their feet? I don't think dogs use their claws like cats do, making it really hard to get to the mouse? Like, dogs can't do a slap like cats and humans can?
That said, I think the bigger differences tho are momentum, distance, and turn radius. A tyranasaures head is something like 10ft off the ground. By the time it winds up and reaches the ground, the mouse would be long gone.
There are great documentary videos of large cats chasing desert rabbits that show this really well. The cats are bigger and faster and stronger, but the rabbits can turn faster.