Razzle, what kind of illness does Geets have? Perhaps I'm missing something here.
Imho, 60 mL is still a lot. I feed raw, and really, in one day, a normal cat only eats a very, very, small amount. Liver should consist of 5% of their diet, actually. Anything more, and they could have vitamin toxicity as I mentioned earlier. I don't know if this is really something you can encourage others to do, for a "sick" cat? I'd say it depends on a lot of things, first and foremost.
the whole "Juicing" topic really depends on how much you intake, actually. Juicing removes most of the pulp and fiber, so it takes a lot more fruits/veggies to make 1 cup of juice. Because of that, it's also very calorie dense and higher in sugars. Thus, juicing can also cause a spike in our blood sugar levels, and then later cause us to feel hungry after a few hours. If we ate those veg/fruits with the fiber left intact, we'd have a slower release of the sugars because our intestines have to work to digest the food due to the fiber. We'd also intake less food when we eat it whole due to the bulk of the food.
Juicing is great for those whose GI tract is somewhat compromised and cannot digest food properly. It gives the bowels a rest, while we can still intake nutritious foods via liquid. There are some other benefits with juicing, like being able to intake a wider variety of fruits/veggies in a day than you normally would, which are all beneficial. So there are some good things to juicing, but it would depend on the person. I personally would rather blend than juice, but that's my personal choice. Hope it helps explain things.