For some animals, it takes LOTS of garlic, and LOTS of red wine...
Yes, MOST serious injuries and loss-of-controls that occur from animal strikes, are from riders trying to slow, dodge, and only being partially successful. Key circumstance is dynamic stability. A motorcycle, when moving at a fair clip, is an object in motion that prefers to stay in motion... and it WANTS to stay upright and go straight ahead. Try this sometime: Take a wheel off a motorcycle, hold it by the axle, with your palms facing up... and have a friend spin it by hand, to as FAST as they can get it to go. Once it's spinning, let go of one side, and then open your other hand.
The wheel will stay on your open hand... it will NOT fall off. Why? Gyroscopic force from that spinning wheel is stronger than gravity. Now, the wheel will want to slowly rotate on it's axis, so you'll have to slowly pivot to allow it to turn without hitting your arm... but it WILL stay upright.
If you were to get a motorcycle up to speed, and step off, with the throttle locked, it would keep going, provided it had a clear, straight path, just fine, without you. IT will traverse bumps in the road (by virtue of gyroscopic stability), and gently steer itself to the crown (by virtue of rake and trail)... all by itself. Standing on the brakes and trying to swerve throws all this stability out-the-window, so a good hard jolt under that circumstance, could dump you.
Many years ago, I saw a guy in his 50's riding a Honda sportbike... like a CBR600 or so... wearing all the proper gear, going the speed limit, split a deer. It was gory, his leathers looked like they participated in a chainsaw massacre. He was lucky the deer was young, if it was any taller, it would've been high enough to clear the triple trees and hit him in face and chest, and pull him right off the bike.
I was on my CX500D, riding down US67 through Pleasant Valley, Iowa with a bunch of morning commuters all heading into town ahead of me. All at once, I saw cars start darting and braking. The guy behind me wasn't paying attention and didn't brake 'till he'd come right up into my left quarter, guy in the front went right, and another guy running right up towards my tail, so I was immediately out of exit options, when I saw what they'd avoided.... about a 100lb golden retriever, dead in the left-center of my lane, right where I was 'pinned in'. I couldn't go to either side, as the automobile drivers' skills were insufficient in allowing me escape, so I had to go over. I slid way back on the seat, then up on my feet, and rode over it as if I was on a 600lb enduro bike. I had a GL1000 front end on the CX-500, so LOTS of ground clearance and suspension travel, I went over it without drama. The moron tailgating me wasn't so lucky, he wound up sideways and T-boned. I'm certain the poor pooch had been dead for a few hours.
In my case, the animal was not much of a danger. The idiotic response of drivers AROUND me WAS.
While one of our local groundhog would certainly hurt (they're TOUGH) I don't think the GL would do much more than bump hard. I'd probably be more worried that he'd survive, and get tossed up onto the seat behind me, and then wish to express his disapproval... basically, like riding 2-up with a honey badger... :shock: :shock: (edit- Or my wife. She doesn't like motorcycling... :rant:
If I were to forcibly enter anything bovine, I'd be worried about the impact, but aside from that, it'd be all the flying plastic shards looking for a me to sushi.
Back when I taught at railroads, the most terrifying thing locomotive operators had to run over, were either truckloads of steel pipe, or shopping carts. The former because it was guaranteed to be a mess, and the latter because after going over, it would tumble and snag, ripping every hose, wire, and bracket off the underside of every car... and I'm confident that a motorcycle encounter of that kind, would be unkind...