Here's a list of news websites I autodelete cookies from on browser restart (most of paywalls depend on view counter stored in a cookie/db):

"bloomberg.com

bostonglobe.com

businessinsider.com

cnn.com (?)

economist.com

forbes.com

foreignpolicy.com

ft.com (hard paywall, cookie deleting doesn't work)

haaretz.com

latimes.com

medium.com

nationalgeographic.com

nybooks.com

nymag.com

nytimes.com

qz.com

reuters.com

rollingstone.com

scientificamerican.com

technologyreview.com

theatlantic.com

theglobeandmail.com

theintercept.com

thestar.com

time.com

usatoday.com

vanityfair.com

washingtonpost.com

wired.com

wsj.com (hard paywall, cookie deleting doesn't work)

city-journal.org

harpers.org

iai.tv

lrb.co.uk

spectator.co.uk

telegraph.co.uk

the-tls.co.uk

wired.co.uk

nautil.us"

Maybe don't outright block but mark them with a flair?

UPD Also I'm not sure about all of them, some introduce and remove paywalls, this list exists for years now.