That would require some incredible chemistry and engineering. It's just a fact of life that liquids are volatile substances and not shelf-stable once the seal is broken. Toner is superior because it's an inert solid powder.
You realize there's options between "lasts indefinitely" and "dries up if you don't use it every day" right?
Even within different lines from the same manufacturers I remember that varied because of the design of the cartridge.
And similarly commercial printers would be more aggressive about automatically ensuring the cartridge ran every once in a while than home ones. All things they could (and probably did) tweak when moving to this model
It's not the cartridge that's the problem, it's the print head. Inkjet printheads have a large number of tiny nozzles that are fed by tiny lines (which resemble a ribbon cable). The Achilles' heel of the technology is that ink can dry up inside the lines and the nozzles and destroy the print head, necessitating replacement. To combat this printer manufacturers have designed the printers with automatic ink-flushing routines which keep them clear of drying ink. This wastes a lot of ink if you aren't printing every day.
It's fine to want something better. I, personally, gave up on inkjet printers and switched to laser a long time ago. I have only ever been an occasional printer but I always want a printer available for when I need it. I have no interest in photo printing either, so a laser is perfect for my needs. Perhaps you have different needs. I can imagine it being very frustrating if you want to print the occasional photo and are always finding the ink cartridge empty or dried up. Personally, if I wanted to occasionally print a photo I would probably get it done professionally rather than waste money on yet another inkjet printer.
The cost of a professionally printed photo is pretty cheap. For most people it is cheaper to have their photos printed professionally when they want one printed. You have to print a lot of photos per month to make the cost of a printer worth it. (I suspect beyond the duty cycle rating of cheap printers). I have a printer (laser!) anyway because while I don't print often, when I do I want it now, without having to get the kids ready and drive to a professional printer.
One annoying side effect of this route is dealing with poor customer service and mistakes resulting in additional time wasted. This has been my experience with services like Walmart and Staples.
There are personal printers that use "dye sublimation" cartridges. These don't dry up from what I gather and also allow amazing results at home on demand. Not as cheap as in store services but not that bad either. You are limited to one print size though which is unfortunate.
Even within different lines from the same manufacturers I remember that varied because of the design of the cartridge.
And similarly commercial printers would be more aggressive about automatically ensuring the cartridge ran every once in a while than home ones. All things they could (and probably did) tweak when moving to this model