That's pretty much it. The only people who are saying that CBDCs are the death of Bitcoin are either ignorant, or want to spread fear/misinformation. CBDCs are simply just the typical fiat currency, just with more power for them. If anything, CBDCs most likely are worse than today's fiat currency.
I guess in some regards they are even worse (surveillance etc) and in some regards they
might be a little better (in terms of transparency concerning the amount of issued currency etc). It depends on how transparent and accessible they will make the blockchain data, if at all. Right now it is hard to tell if they are running money printers in their basements or not. Yes there are numbers out there about M1 and what not, but who can really tell whether those numbers are true? That might be different with blockchain based issued currency, but with that transparency would also come the surveillance nightmare for citizens/negative interest rates nightmare and many other nightmares