A couple of notes for anyone interested.
Pitching on a whole yeast cake minimizes the reproduction stage. This will reduce the contributrion of flavors in the beer from the yeast. Good for 'clean' ferments, but if you want fruity notes from English, or Belgian yeasts, they will be reduced. Recommend pitching 1/4 of the cake.
Continually harvesting yeast from the seconday will change the yeast characteristics. You are harvesting the yeast that didn't flocculate. The good ones are the ones that did all the work in the primary and flocculated out ... you left them in the primary.
As each generation reproduces, they will tend to reflect their parents, but there will be a variation. One generation from secondary will probably not change much, but a few generations will change the yeast. It's like tall people generally have tall kids, and small people have small kids; not always true, but is a general trend. Taking yeast from secondary you are selectively taking the yeast you don't want to have a clear beer.