Kitchen ovens are vented, otherwise they'd become bombs as interior air and foods expand under heat and pressurize the interior. But in your kitchen you're not burning wood, so there's no noticeable air flow unless you force it around the oven with those convection fans that turn a kitchen oven into a convection oven. Also kitchen ovens tend to be run at higher temps and so a larger portion of the heat transfer to the meat (ie cooking) is via radiative processes.
But when we smoke outside, we set up a draft in our smokers, whether it's a small flow as in a MES all-electric, or large as in an offset or a pellet machine. Either way it's convective flow from bottom, across your meat, to the top, then out a vent or stack. So all smoking is convection cooking, it's just a matter of degree. Your car's radiator cools better at 60mph than 30mph because the convective flow is twice as large.
Personally I'd expect identical meats at identical temps to cook (ie get to a fixed desired internal temp from the same starting point) faster on a pellet machine than a MES just because of this difference in flow...one has more convective heating than the other. But there's so many variables involved in cooking I don't doubt someone's experienced the opposite.
Most commercial smokers used in chain BBQ establishments are more like a MES than traditional pits. They generate most of their thermal energy via gas or utility electricity. They use modest amounts of wood for smoke but use circulating fans in the interior to help that smoke do it's most good by passing over the meat multiple times before it's finally vented and gets replenished from what is often just a single log or split that lasts for hours. That fan inside is basically making the smoke go around in circles, functioning much more like the fan in your kitchen stove that the fan in a pellet machine.
And as others have said, the fan also, by "mixing" the air inside, has the effect of minimizing spatial temperature variations within the cooker. However again the large commercial smokers tend to have elaborate geared carousel rotisseries that would compensate for these temperature gradients. So they're using the fan mostly as a way to increase convective heating, hence reducing the cook time, while increasing the smoke flavoring with less wood consumption.