Oh, the other thing about a lockdown not working to keep omicron low in the Netherlands which is bad - is that they actually had a low omicron level when they locked down, any country locking down from a high prevalence, is going to keep that high prevalence, there will be no immediate reduction in cases, which won't help healthcare stress or support for the lockdown ("why are we doing this when it's making no difference?")
But we don't yet know for sure that a lockdown doesn't defeat omicron, there's just a question about why in Holland - it could be that they're actually ignoring lots of the restrictions and everyone's having house parties.