muff528 writes:

Would it be possible to maintain 1g in the seat if the "corkscrew" were
modified to a shape like an opening spiral, similar to a nautilus shell?

No.

Maybe slip to the right while pulling the nose up to induce acceleration of
1g. You would continue this maneuver, gradually flattening the spiral as
gravity takes over the acceleration into the seat until you are again
straight and level. You would never "climb" against gravity at any point
since that would create an acceleration above 1g.

Any time your vertical speed increases positively, you are above 1 G.