I have basically worn one of those two pairs of headphones every single day at work since I bought them; I guess I've just had good luck.
HD 559: 6.3 mm plug.
HD 560 S: 6.3 mm plug.
HD 569: 6.3 mm plug + 3.5 mm plug.
HD 579: 6.3 mm plug.
HD 599: 6.3 mm plug + 3.5 mm plug.
HD 600: 6.3 mm plug.
HD 650: 6.3 mm plug.
HD 660 S: 6.3 mm plug + 4.4 mm balanced.
HD 800 S: 6.3 mm plug + 4.4 mm balanced.
HD 820: 6.3 mm plug.
So really the 3.5 mm cables are an exception that are also bundled with Sennheiser's audiophile-tier headphones and absolutely everything has a 6.3 mm plug out of the box.
Never had original 8xx cables to check but I would be surprised if they weren't the same.
HD 559: https://assets.sennheiser.com/img/18214/product_detail_x2_de...
HD 650: https://images-na.ssl-images-amazon.com/images/I/61vm4c%2Bhb...
HD 660 S: https://assets.sennheiser.com/img/25816/x1_desktop_sennheise...
HD 800 S: https://cdn.mos.cms.futurecdn.net/cVSs2jBo28NYKPkdGtZhnR.jpg...
I'm not seeing a lot to back up your claims. Especially since a lot of those headphones come with a 6.3 mm to 3.5 mm adapters.
Edit: the 3.5mm male to headphone is Sennheiser 81435 [0] the 6.3mm male to 3.5mm female that fits over it is Sennheiser 562507 [1].
[0] https://en-us.sennheiser.com/cable-3-m-35-mm [1] https://en-us.sennheiser.com/accessories--adapter-jack-63s-j...
That's actually not true. That plug is commonplace on a lot of music equipment, DJ mixers, etc. that are still manufactured and used commonly today.
I figure there has to be some reason for it in an age when companies are constantly cutting costs.
I doubt many people are trying to drive HD-650's with a phone anyway.
But I believe there's no difference in listening experience. The bigger plug is probably a lot sturdier though. I've had some 3.5 mm jacks bend on me. Can't imagine that on the good ol' 6.3. I have totally busted a 6.3 mm to 3.5 mm adaptor though.
For very long cables or high RF you might want a kind of cable called "balanced", which comes in every size except 3.5mm. Some audiophiles think these make headphones sound better, but it's probably not true.
That's pretty standard even in newer Sennheisers. I think HD 650 and above you get the big plug. Some might come with two cables, one with a standard plug and one with the bigger.