I own 2 sites.
Been focusing on those for years.
+ I have hundred of landing pages, for those sites.
I personally use the framework : ads directed to landing pages directed to email marketing.
A website was never essential for me.
For my IRL job it is a bit different though.
We have a few seos who work on it.
But mostly we also advertise with PR for specific landing pages which are not on the site and give a better correlation to the ad.
I think landing pages are mandatory for every new ad or PR or whatever you do.
A website is not dynamic by definition and it's why I think it's outdated.
Very unpopular opinion though, feel free to disagree. But with our mentality, it's proven to work as we do it.