Laser light is straight, unless you are shooting near a black hole. Bullets fly in an arc. This means that you either use the sight at a distance where the trajectory is flat enough (up to 25 yards, perhaps?) or you adjust the beam for elevation and windage.
It will be all but impossible to see any laser dot, red or green, at a large distance with unaided eye. This means you need a telescopic sight for distances beyond 25 yards. Perhaps you can see the dot on a perfect target (paper,) but you can't see it on a rough, textured surface of arbitrary color. Even black areas of a paper target will be a problem. I cannot imagine seeing the dot at any appreciable distance if you point it at a plowed field or a pasture, hunting varmints.
If you are using the laser sight at a distance that is short enough for both purposes then a green laser will give you more power, and your eyes have better sensitivity in that range, as you already discovered. That would be your choice if you can't see red on your target. I do not know what shooting conditions you are envisioning. But note that green lasers require more batteries. Also beware of reflections of laser light; reflection of a green laser beam may *seriously* impair your vision. And, of course, lasers reveal your location (unless that's an IR laser and you wear IR goggles.)
If your target is a tree hugger or someone driving a hybrid you have to use red because they are already green.
Consequently a red laser will not work on a conservative.
That’s a good point on the trace of a laser vs. the arc of a projectile – over any distance the advantage would wash out in that regard in addition to the fact that it would have to be strong enough to reflect back to you.