In this note we expand on our previous study of the implications of LEP1 results for future colliders. We extend the effective operator-based analysis of De Rujula et al. to a larger symmetry group, and show at which cost their expectations can be relaxed. Of particular interest to experiment is a rephrasing of our previous results in terms of the Renard et al. parametrization for the gauge boson self-couplings (slightly extended to include $delta g_{gamma}$). We suggest the use of a ($delta g_{gamma}$, $delta g_{Z}$) plot to confront the expectations of various models.