But the actual point you were arguing was: Is it legitimate to block ads and/or circumvent paywalls? What about the poor? or non-Americans?
The latter two aren't actually new situations for publishers – they have actually always operated in 0-marginal-cost environments, and have therefore developed strategies to capture any "consumer surplus" they can get. For those cases, there has always been country-specific pricing as well as discount schemes. Most common are probably student discounts, but you can also do price discrimination by making people jump through hoops to get discounts, essentially trading time for money. That's the principle behind supermarket coupons.
Regarding your technical scenarios: You're trying to do some legalistic hair-splitting, in a discussion that isn't even about legality but morality. I hope we'll get to the point where people realise the importance of professional, traditional print outlets, and see that they can obviously not continue to exist without our willingness to spend some money. I'm rather pessimistic on the former ("yeah I browse the NYT on the loo but it's not worth anything and 15 years ago they were wrong about Iraq WMD and I rather read bloggers from all sides of the spectrum and do the synthesis myself and even learn about Pizzagate and no I don't have a problem with run-on sentences").
The media still has to do its part, as well. I regularly do a shallow read of 10 to 15 publications. I'll happily spend 200$ per year for the privilege, but I haven't found anyone willing to take my money. I'm not going to pay that amount for a single publication as my parents have done over decades.
I'm spending 10$/mo on music now. Before, I had bought maybe two CDs in my entire life. But so far, publishing is blocking "streaming" to protect "CD sales".