I have no idea about this consumer index that you've just mentioned. But the one thing we're sure to see is that, whenever bitcoin goes on a bull run.
Then, most altcoins are also going to be the same just as bitcoin is. Because that's the cycle and pattern that we always get to see and we knew it from the beginning when bitcoin goes up, everything is has the chance to go up too.
Ignore how CPI will affect the market, but the altcoins market only increases when bitcoin rises in price. It is difficult to see altcoins grow while bitcoin falls. I have never seen the market work like that before.
There are times that the altcoins have risen even if bitcoin hasn't moved an inch. Sometimes it's like that. Maybe you haven't really seen that happen.
But for me, I've seen that happen before and that's why most of the time it is proportional and sometimes it isn't.