First of all, it's only the thickness of a saw cut. Secondly, if it is load bearing (which I seriously doubt that's the case in the OP's garage where the column appears to be in a gable end wall) the saw will bind and get stuck in the kerf. In that situation you will know that you need to do something to support the load if you are serious about taking out the column (and removing the saw). I've done this numerous times without issue.
Maybe I am not understanding then. Are you saying If I have a 6x6 post, I should cut horizontally into it until my saw binds up, then I know its load bearing? What if I get 1/2 way thru the 6x6 before it binds?
Im thinking like this if this is done, im cutting and its the tension face of the column Im cutting, it would take a bit to get to the compression side, but it does end up binding, or since its the tension face I am cutting, i cut deep enough that the column fails.
Or I do the same, get half way and it binds, Ok, so I know its load bearing, and the next day I plan to replace the column.
But, over night it snows a foot, or a wind storm comes along and all of a sudden my 6x6 now is like a 3x6 because I cut 3" of it with a saw. If thats the case,
DONT DO THIS