Yeah, you need to run more to build the stamina to run further lol.
I used to do 15-20 miles in ~an hour on my bike when I was still smoking. A month later, I'm still doing the 15-20, but now that's taking me closer to 45 minutes to complete. And I'm coming home feeling a lot less winded. It's getting easier and easier to breathe every time. I noticed a huge increase in stamina within days of fully-switching. Normally, I sort of had to pace myself or I would get sore, feel weak, and get aching in my chest, but now my legs want to just GO from start to finish and I don't even feel it in my chest. I actually cannot go at the pace I used to. As soon as I stop paying attention, I start going faster because I just don't feel the strain like I used to. It used to be that my work-outs would tire me out somethin' fierce. Now, my energy levels skyrocket after a work-out. It's amazing what the increase in cardiovascular efficiency has done for my muscle capacity. These are the same muscles I was using before. The only real difference is that they're operating more efficiently than before because they're getting a better supply of good blood and less of the icky lactic acid that makes you tired, sore, and eats your muscles. I think had the raw physical capacity to do this before I quit smoking. The difference now is that my body is better equipped to make full use of it.
I should mention that I've been on a steady work-out regimen for a couple of years now, though. I doubt you're gonna be all that much better off getting into a work-out regimen as a smoker than you would as a vaper. I think the differences are going to be more apparent when you get into a groove, i.e., in where you "cap-out."
I do think you'll ultimately wind up in better shape picking up running/jogging as a vaper than you would as a smoker, though. And you'll probably get there faster too. But the first few times, you're probably still gonna perform about as you would as a smoker because not smoking doesn't equate to maintaining a solid cardio regimen.