Lets start over...a directionally stable airplane is flying straight and level. It gets shot with a gust of crosswind from the left (pilots view). this plane reacts with a negative yaw rate (pointing it toward the wind gust). Some of the propulsive force counters the crosswinds ability to take the aircraft off ground track. the gust then relents. The airplane then reacts with a positive yaw rate. it resumes its initial heading.
a near unstable (again directionally) airplane is flying strate and level. It gets shot with a gust of crosswind from the left (pilots view). this plane reacts with a right translation and little angular rate. the gust then relents. The airplane then stops translating. it maintains its initial heading...but has gotten off track.
a directionally unstable airplane is flying strate and level. It gets shot with a gust of crosswind from the left (pilots view). this plane reacts with a positive yaw rate (pointing away from the gust) which results in higher beta, which results in higher positive yaw rate........spin.
Which airplane would you want if you wanted to maintain a ground track?
Crab angles have nothing to do with stability
do you want to rephrase this?