For Ramen, my Snowpeak 600 is perfect -- if you only use it to boil the water. If you add the Ramen to the cookpot, it might be too small. Let me explain to you my process of cooking Ramen, so you can think through how a 600ml cup might fit into your cooking style:
I boil 2c water in a Snowpeak 600, which leaves about 3/4" between the surface of the water and the pot rim--just enough to keep it from boiling over. While that's boiling, I break up the Ramen into 4 pieces (while still inside its wrapping, no mess this way) and put it into a large red Dixie cup (16/18oz). These are great--tall and wide, and only 0.2oz. I find I can put boiling water in these with no softening of the plastic. And for a 3-day weekend, I can bring 3 of these for each dinner and still come out lighter than if I brought a Ti mug large enough to cook the Ramen in. Plus, I get to simply toss the cups (full of any trash, or stacked on day 2 and 3) into my trash bag (freezer bag) at the end of the meal for a no-mess, no fuss cleanup.
Anyway, I then add the spice pack, my own dehydrated veggies & TVP, and pour the water over. A few minutes later it's cooked through and at the perfect temperature--no cozy needed. While I eat the Ramen, I get more water boiling for a drink--usually cocoa or spiced cider. I find this process to be quick, easy, mess-free, and seamless.