I find it worth the trouble to find some way of disagreeing, either via "reject all", or clicking through the various radio-buttons offered and hitting save. It just seems worth the effort.
While I admire the efforts to limit data collection, these privacy/cookie popups are now a plague across the internet, a 'net that had done a brilliant job of getting rid of the first wave of popups in the past that I well remember, along with the relief when they had been banished by sensible browser manufacturers.
Even better than dealing with the privacy banner, I now often just hit "Back" and don't bother reading any articles that are only offered in exchange for collecting my data. It's a good filter, and time saver.