Actually, the term is called "kirbed" when the point of the hook is not in line with the shank of the hook, not offset. If the hook is not kirbed, then it should lie flat on a level surface. We're talking semantics here, but offset refers to a bend in the shank that keeps bait (like a plastic worm) from slipping down the hook. For example, in a bass fishing worm hook, the offset bend is the bend that keeps the plastic worm from slipping down the hook where you pull the hook out on your Texas rigged worm. The "kirb" refers to a bend on the shank of the hook that keeps the hook shank off the same plane and provides the hook with two things, hooking power because the hook point isn't in line with the shaft, and torque in some cases (like the tru turn hooks) that give you added hook setting ability (debated by some folks yet lauded by others).
A "circle hook" that is preferred by a lot of bass anglers is the Gamakatsu split shot hook (or the Gary Yamamoto split shot hook). This hook has excellent hooking ability in the circle hook fashion yet is not kirbed and, if you practice catch and release Senko bass fishing, will result in far less gut hooked fish.
If a hook is kirbed it WILL stick at once, as soon as any tension is applied. If the hook is not kirbed but the gap is open or too wide it will probably stick as soon as pressure is applied. If the hook isn't kirbed and the point literally points thru the eye of the hook, then it will pull out of the throat and rarely hooks flesh until it reaches the corner of the mouth.
Use the Yamamoto (or Gamakatsu) split shot hook when using Senkos for a higher percentage of hook ups, much lower fish losses (very rare gut hooked fish). I prefer the #4 size especially for nose hooking the Senko. It works on wacky rigs as well. Bigger size hooks work, but the #4 seems to match the Senko the best.