If you want to get technical...
"In physics, a vapor is a substance in the gas phase at a temperature lower than its critical temperature, which means that the vapor can be condensed into a liquid by increasing the pressure on it without decreasing the temperature."
"Smoke is a collection of liquid and solid particulates and gases emitted when a material undergoes combustion or pyrolysis, together with the quantity of air that is entrained or otherwise mixed into the mass."
So, vapor is "a substance in the gas phase," and smoke is "a collection of liquid and solid particulates." I think that pretty definitively means that smoke is
not vapor, and vapor is not smoke. Additionally, what our
devices produce is not technically a vapor either, but an aerosol:
"An aerosol is a colloid of fine solid particles or liquid droplets, in air or another gas. [...] Examples of aerosols are fog, steam, haze, and smoke."
So smoke is an aerosol. And steam is also an aerosol. But so what? Squares are polygons, and triangles are also polygons, but I don't think you'll find anyone arguing that that means they are the same thing. Squares are very much
not the same as triangles, and vice versa. Likewise, just because they're both aerosols, does not mean that smoke and steam are the same thing. Our devices do produce an aerosol, and smoke
is also an aerosol, but what's produced by our devices is more akin to steam than it is to smoke.
[Source for all quotes: Wikipedia]