Not using the goals but I went through a similar battle trying to find the perfect size and I collect backpack cooking gear like most guys do with knives...
I’ve tried the 500, 600 and 750 Ml size pots from various brands but find that it’s never quite enough water
I do a lot of backpacking outside hunting and try to go ultralight as much as possible.
The 2 best I have for solo use where I might heat up a meal and a hot drink are the snow peak solo set
https://snowpeak.com/products/ti-mini-solo-combo-scs-004t on really ultra light tips I only bring the pot, pour the water into my meal bag then mix my drink with the rest and drink straight from the pot. Possible but somewhat of a pain.
Pros are that it all nests together without making a lot of noise in the pack. Holds my fuel, Soto micro regulator, windscreen and Optimus spoon.
Holds ample amount of water for a meal and a small coffee.
Cons are that it’s still kind of bulky in the pack.
More often than not I’m using this sea to summit combo. The kettle and mug nest together and hold an MSR folding spork, small piece of microfibre cloth, sponge and some seasoning inside. Super compact and light.
Downside is that it’s not a self contained kit like you’re looking at.
LIFETIME GUARANTEE. For backpacking, the collapsible X Pot Kettle is your fast-moving, camp kitchen friend. This compact folding pot boils water incredibly quickly and allows for easy pouring into coffee makers, mugs for tea, or dehydrated meal packets. For ease of packing, you can even nest two...
seatosummit.com
LIFETIME GUARANTEE. The X-Mug is a collapsible mug and measuring cup. A rigid ring within the rim keeps it sturdy to hold onto and easy to drink out of but still allows the mug to be collapsed to a disk that will fit in the palm of your hand. It's flexible food-grade silicone sidewalls that can...
seatosummit.com
Either of these set ups make enough water that I can heat up a big meal (I make my own so qty varies) with a hot drink and sometimes a little warm water left for a whores bath.