Using worn out drills

[Toolmaker51]

Olderdan is correct. Offcenter will allow drill to operate. Two different point angles won't centered or not, will cause wander and breakage.
I 'll bet old shop has MT 4's and 5's as old as me. Must be 3-400lbs languishing in a crate. All the shanks look good as far digging down revealed. Some mis-ground, more worn from excess rpm right at corner adjacent point and lands, fully rounded off. No radial drill, and hardly any hole work in the lathe. Gonna make an offer on total scrap weight...
Time for making a drill sharpening fixture attached to 10" or 12" pedestal grinder, or larger disc sander. Far less expensive abrasives, that's for sure. Noticed many get better results on a disc, including myself. Belts have too little a definite platen supporting the belt.
The common fixture is a long Vee block that swings to produce the wrist action like hand grinding. A stop at far end positions lengthwise, a register locates cutting edge/ web relative to centerline axially and radially. Needs a compound angle to generate 118*-135* point angle and clearance behind cutting edge. A wheel delivers that easily as you swing away from periphery while hand grinding.