OK, yes,
transitioning to a climb would put a "knuckle" of increased vortex in the wake momentarily and then return to the "steady state" vortex strength - assuming the climb in thereafter unaccelerated (not a loop-the-loop!). It is
highly improbable (but not impossible) that the trailing plane would fly into the preceding vortex
exactly at the point where the knuckle exists.
@Capn Bloggs - an aeroplane climbing at a
60° angle will not be in a "steady state" very long - unless it's an F-18.
But your point is taken.