Actually 'considering' up / down drafts is not really the issue, because all the PIC will be doing is (in this sort of aircraft) flying the AH and trying to keep it at low pitch and roll numbers, and opposing the + / - G (actually Gz) loads with the stick.
In an ideal world, this is what you're trying to do. It's not an ideal world and we have a crashed aeroplane.
So yes, up-draughts/down-draughts or the old spiral/stall spin splat are the issue.
Having encountered a tropical TS through stupidity in a single engine charter machine, I can tell you it's a harrowing, mind numbing, bone chilling and regrettable experience.