Is Scar Tissue Stronger Than Skin Tissue?

It's a pretty old scar (at the least 5 years old). It's about the size of a penny laying flat. It's completely nerveless (I can't feel things brush against it, I can only feel pressure), and to my finger it feels really soft. No hair grows from it, and it's a little sunken in (given the circumstance).

When my cats lay on my leg (it's on the inside-side of my left knee) I freak out because I'm afraid they are going to puncture it with either their weight or their claws. I baby it when I shave... heck I baby it all the time.

My main question is. Is it stronger than I think it is? Would it be able to stand up to more than I expect? Should I stop baby it and just treat it like skin, and not so much a wound?

Thanks!

Story behind the scar: Me and my friend were riding double on her horse in a neighborhood where horses were restricted. We had already been told to leave once by a cop but didn't listen. On the way home, we saw the cop pass again so we speed the horse up a few notches. We were loping (between a canter and a gallop) along the ditch when there was an instant that we had to pass between a mailbox and a tree that were pretty close together.

I tried to steer the horse closer to the tree, but he kept pulling to the mailbox. My leg ended up hitting the mailbox full force; I was wearing shorts and sitting in the front, going about 15-20mph.

I didn't notice it at first, but later I looked down at the hole in my knee. Was about a nickle-flat in width, and about 3 nickle-widths deep. -_- We ended up butterfly stitching it (aka: taping it together with band-aids and a wrap.)