"Eventually" strikes me as being the key word in that sentence.
To be quite candid, I harbour doubts about even that; actually, I think that nothing whatsoever will serve to motivate G R R Martin to bring the series to a fitting close and conclusion if the (lavish) TV series failed to do so.
Besides, it may be much more remunerative to simply indulge oneself by toying and tweaking elements of the background and world-building than to sit down and firmly focus on bringing the thing to a close.
I too share your pessimism about the series ever being finished, and I think the TV show all but guaranteed it never will be. The sixth book would be a day one pre-order for me, and would likely result in me re-reading the first five novels!
I guess it can't be ruled out entirely, but I'm also not holding out much hope. For now we can dream...of spring:
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