It really just depends on the horse. My sister has a cob, imported from Scotland. He's a big boy, very drafty but only about 15.2 hands. This horse won't jump. He's naturally very bargy and if you point him at an obstacle he knows will collapse, he just plows right through it.
My mom's gypsy vanner gelding is lighter than my sister's horse. He can be a bit bargy as well, but he's much more energetic and really enjoys jumping. He's a cute little jumper, not built for going over larger fences, but he's comparable to jumping my dad's appaloosa mare as far as feel goes.
Here's me and my mom's horse messing over a little cross rail:
My own horse is a Shire/TB cross. She looks more Shire than TB but I'm pretty sure she inherited her athleticism from her TB side of the family. She's big, but jumps even larger fences effortlessly, despite the fact that she's still green over fences. She's just a natural at it, and it's very easy to ride her over a fence.
Here's me and my mare at the end of last season, just testing ourselves over fences. Not great but she looks pretty good for green, and toting a rider who hasn't jumped consistently in more than 8 years.