Always do the safe thing. I try not to ever set my bow down where it could get forgotten and lost, run over by a vehicle, or otherwise damaged. I learned this when I heard that a couple girls in my music group (25+ years ago) set their fiddles on the ground behind the tour bus, forgot about them, and the bus backed over them. Don't want to ever drive off with your bow sitting on the top of your car? Don't ever set it on top of your car.
When I was a about 12 years old, I was helping in my Dad's archery shop. Someone was re-fletching some arrows, and one of the arrows had a 3-blade bodkin glued on at the tip... they didn't remove it. They had turned the arrow upside down and put it in a 5-gallon can of acetone. It was pointing straight up, with a couple of other arrows with no tips on them. I stepped up on a stool to grab something off a shelf, then turned around and stepped down, and that Bodkin went right through my leg. Made two separate holes in my jeans, and a big hole in my leg... it was the first time I rode in an ambulance. That easily could have killed me if I had been stabbed elsewhere.
As a result... Now that I'm the grown man tinkering with archery stuff in the garage.... I try to never set a broadhead down in a place where it could do harm. In the event that I forget it, it should be OK. In like manner, I endeavor to never lean my bow up in a place where it could fall and be damaged, or set it on the ground where I could step on it. If I have to set it down where I could forget it, I'll snap my car keys on the bowstring so I can't leave without it. This general concept is one I try to live by.
Just my $0.02.