I haven’t had bonded bunnies, but have read about many of them here over the years, and there seems to be a tendency to have the 2 bunnies be more interested in each other at first once they get along. Some slaves have complained at first that they seem to only be needed to feed and clean. But after a while, or sometimes without a change at all, the first bunny maintains the original relationship of affection to their owner. What you will want to do is get to know the new bunny, spend alone time together, and create a bond between you also. Often, with the difference in personality, the owner (slave) is delighted with the new bunny and they have a different kind of way of relating, so you get double the fun of having bunnies. You will see many differences in behavior and personality, and will relate to each one separately as well as together.
So I’d say expect changes, and more changes, in your individual and group dynamics, but it will be interesting and probably very rewarding for all of you.