Drag is force of the air against the direction of flight, produced mainly by turbulent flow at the end of the wing, which is why wings don't just end abruptly in a vertical surface like a knife. Solid material doesn't flow so turbulence is not a concern. The closest thing to drag would be friction from material sliding along the surface of the knife. A convex grind can lower friction if the material being cut only touches part of the curve instead of the full flat surface. But the convex grind also increases the amount of force needed to cut, so it's a balancing act between thinness behind the edge and friction.
Because you are usually holding the material being cut with your non-dominant hand and holding the knife with your dominant hand, some advanced kitchen knives have an asymmetrical grind that is thinner and flatter on your non-dominant side, where the material is going to be pushed against the knife anyway, and more convex on the dominant side to reduce friction with the freely moving material.
Lift means the material above and below the wing are providing a force moving the wing up, something you probably don't want happening to your knife. This is why the front of wings are convex rather than wedges. The intent is to divert the air, not just cut through it. HOWEVER, in the case of the advanced kitchen knives discussed above, the asymmetrical grind can actually produce an analogous force that steers the blade to the non-dominant side since there is more deflection off the curve of the more convex (dominant) side. This is corrected by making the dominant side bevel shorter and more acute than the non-dominant side bevel, which steers the knife to the dominant side, counteracting the "lift."
In conclusion, knives are generally not designed like airplane wings. Some kitchen knives have analogous design principles to lift and drag, but these are irrelevant for most cutting tasks, which are more about balancing thinness behind the edge vs. strength of the knife. Hollow grind, flat grind, and convex grind offer different balances of those properties so all are relevant depending on the task. There is no best one.