JW and Jeff, I disagree with both of you. I have drawknives whose handles are parallel with the flat side, and some that are angled, some perpendicular to the cutting surface, and some angled out, and I've used them all, upside right and upside down, as the needs arise. I use em with the flat side down for 95% of the work, but with the bevel down when I need to... I just use what works best... and there are no "alls" about it related to their handle angles.
I agree with Gutpile that a sharp, but slightly less sharp, drawknife is better than a freshly honed one for the final chase of an osage ring... or the entire chase... on the super thin ones... but even then, they'll cut me like a good fillet knife if I get flesh in the way.
Generally, I keep all of them sharp, but since I don't abuse them, don't pry or scrape with them or allow other steel to touch them, they require minimal maintenance... an occasional brush with a fine diamond impregnated card.