  We prove {\L}ojasiewicz inequalities for round cylinders and cylinders over
Abresch-Langer curves, using perturbative analysis of a quantity introduced by
Colding-Minicozzi. A feature is that this auxiliary quantity allows us to work
essentially at first order. This new method interpolates between the higher
order perturbative analysis used by the author for certain shrinking cylinders,
and the differential geometric method used by Colding-Minicozzi for the round
case.
