Carts all the way. More durable and have better longevity and preservability than optical media.

CDs sucked especially in the early days of gaming. Cartridges is just a superior format. Today Cartridges can hold more memory than Blu-Rays which was the only advantage it had.

I've always voted cartridge in those polls, I think both will still co exist for some time

I choose optical discs because they allow for larger capacities and a better sound quality, not to mention you can't lose them as easily as a tiny cartridge. Durability with Blu Ray discs has never been a problem with me and I don't think it should for the rest, unless they want to damage it deliberately with crayons or a pizza slicer. Discs are still cheaper to produce than cartridges, which have been detrimental to some consoles, like the N64. But Switch is doing good, so I'm automatically wrong.

And yeah, cartridges have reached 330TB, but they're tape drives and I don't think something akin to the Commodore's format is making a comeback anytime soon. Whereas 1PB (petabyte) of content has been able to fit inside a disc recently. Both applications which are currently unavailable for videogames, but still, discs are superior.

Just like Ram?

You do realise that inside the NES/SNES/N64 carts was a ton of empty space right?

The Switch/3DS carts can *technically* have Co-Processors as well.
It's unlikely due to additional costs...
The interconnect not having the appropriate levels of bandwidth... (We need GB/s not MB/s)
And the fact that processors these days are so powerful, they require a heatsink and/or a fan... Not exactly great in a cart. A passively cooled small co-processor would likely not offer much benefit over the powerful base device in this day and age.

But it is still possible, just no point to it anymore.

Disks still have the advantage of cost and manufacturing time.
Stamping disks is so much faster than fabrication of chips, building of PCB, moulding of plastics and then assembling it all together.

Not any more.

Maybe for you. Personally, I prefer discs for the reasons below the comment you conveniently cropped. Also, people here are also mentioning NES/SNES/N64 cartridges, and the CD back then offered an improved quality. I still remember WWF War Zone on both PS1 and N64, and me hating the latter version.

I prefer cartridges myself, for a couple of reasons.

(1) More robust; I never liked how fragile discs are and I'm always paranoid about getting scratches or dust or smudges on them, or buying a second hand one only to find it doesn't work passed a certain point. Whenever I handle one I feel like I'm walking on egg shells. With cartridges I don't have this anxiety.

(2) Load times. I'm an impatient person and long load times annoy me.

(3) Nostalgia. My first console was the SNES and most of my childhood was spent playing that and N64, so I have a lot of happy memories associated with carts.

Which claim exactly? You didn't highlight what you are asking a link for.  If you mean a firmware update to play previous PS games I should think it's obvious.

Also I said I _suspect_.  As in I don't actually know, but I have a theory as to why SONY doesn't spend the time and effort to allow old PS discs to run on the PS4.  Here's another.  Money.

When old games are sold on the PS Store they aren't completely redone games made for the PS4, they are merely running the games inside an emulation layer which runs on the normal PS4 hardware.  In doing this for games they don't own themselves SONY negotiates individually with game developers, or maybe often the developers approach SONY themselves, to hash out contracts to allow this.  And more money is made.

Digital is my first choice.  Cardtridges would be the second and Discs the third.

Nothing to do with me.
NAND/ROM fabrication has increased in leaps and bounds since the Nintendo 64, the technology has NOT stood still.

And the sound quality is exactly the same as Optical Disk.
The main reason for reduced audio quality was to conserve space, but considering that concern is no longer an issue with 64GB-256GB capacities for carts now being possible... Well. You get the idea.
To put that into perspective... A Single layer Bluray disk is 25GB, Dual Layer, 50GB which is the most common capacities for consoles.
Triple and Quad-druple layers allow for 100 and 128GB respectively.

That the Playstation 4's optical drive just requires a firmware update to support CD.