"Chaos is not a pit. Chaos...is a ladder."
I seriously doubt any Tyrell would want to even be associated with those words. But that is how Garland has now been forced to basically take on things, and it's what Willas used to orchestrate it all. Even temporarily, he had to resort to a pretty horrid use of violence, he put a pole through a fucking man's head and then let everyone basically fight it out, knowing that loyalty would swing to him in the low morale he found of the Guards. It would never happen with a polite "Step aside please". I can imagine that while he would want it to be a peaceful handover, that his order would have enough weight for that to happen- he has forgotten, it's not really that worthy (a Hand's order) as it used to be with a King's backing. So now, we have a sixth of the City Guard lying dead in the streets, and everyone is going to think what in fuck's name has just happened, either it was a good purge, putting all the traitors to death and keeping the Hand's peace, or showing that the Tyrells are willing to make a regime change, from the ground up. Opinion matters on that one- to the distant lords, it's relatively insignificant, but in the South, it would be far more significant and important, and no doubt, Kevan will be fuming. It's a terrible thing, like the Night of the Long Knives, they basically made a paradigm shift but with far more blood than was expected.