It's been over 3 months since Amazon promised us this, and today they followed through. Kindle owners who are paying $20 a month to subscribe to the NYTimes can now see the full web content of the NYTimes after they log in with their Amazon account.
TBH, I'm not sure that this adds any value anymore. in the past 3 months it's become clear that the NYTimes paywall is quite porous. Bypassing it is ridiculously easy; there are any number of sites that will tell you how to do it. At this point everyone who wants to use the website already does.