There is a truth that you need to accept that, whether we need CBDC or not, it will still be issued by the government and in the further future, it can even completely replace paper money. So as long as the government still controls us, it is mandatory for us to use fiat or CBDC in the future, we have no choice whether we want that to happen or not. 

But I find it inappropriate to compare bitcoin with CBDC because they are completely different, if you want to compare you should compare it with stablecoins rather than bitcoin. Since CBDC is just a digital version of fiat currency and fiat cannot compete with bitcoin, and neither can CBDC.