Incorrect. Before to break 10 CP you had to run dual Battalion or brigade (if not playing knights), which meant minimum 6 troupes, X amount of everything else. With the math I presented you could have 15 CP just by taking a single supreme command detachment with nothing but greater daemons in it. Or by taking a vanguard with 2 HQs and expensive elites, etc etc. Allowing you to choose which detachment you want for free means the choice is entirely up to the player, but adding on to it will lower CP. It means that for once we'll actually have to look at how much can fit into a single detachment if we don't want to pay to expand, but given the wide breadth of options for that initial detachment, the only people limited are those who really want to double down on a single catigory of unit, like HQ or elites.
Anyone who wasn't taking dual Battalion or a brigade will have more CP from these changes. A lot more. And those who could stretch passed that to 20 or above were nich cases of guard or others who could spam very cheap troupes, and those can do with coming down slightly.
Not liking the idea of my changes is one thing. But numbers wise this is a much fairer system to anyone who isn't playing a purely narative army of like 3 different battalions.