I have repeated the same analysis performed in 41814 using the channel of this entry and only few channels show a stable time constant, thus only few channels show a real transient after each lock see Figure 1 (I have considered only channels with time constant < 3e4s).

As it is pointed out before the 56 MHz phi has a time constant longer than the DC power but much shorted with respect to the cavity mirrors. Moreover its time constant is close to the 6 and 8MHz EOM signal decay.