you're misreading the diagram- that's not what's happening. page 3-13 shows a leak check wherein air is drawn through the outer tank, which is not intended to contain fuel, to see if fuel vapors are detected. The main bladder of fuel does not have air drawn through it. The car does that automatically on a regular basis (on every startup?), so if a leak as started it will hopefully not have leaked much by then. Also, this is air being drawn (by vacuum) through the enclosed area, and the result would be much different if you forced compressed air into the same volume (you'd squeeze the fuel bladder, for one).
I can't cite the configuration of every car in existence off of the top of my head, but the ones I've looked at do not draw air into the tank intentionally as part of testing for leaks - the closest they do is draw a slight vacuum and monitor the recovery rate.
I thought a smoker worked by boiling mineral oil and mixing it with a cool gas to condense and disperse the resulting vapor, not by burning the oil? That process would create "oil fog" rather than "smoke" and would not rely on the presence of oxygen.
If you feed "smoke" into the intake manifold and it manages to waft into an evaporative emissions control line to reveal a leak, no problem. I would not recommend connecting those lines directly to compressed air to force air + oil fog into the evap system.