I'm not crazy about the bright, ringing sound people go for nowadays. I think it's a little harsh. I like a "covered" sound when I pluck, which to me means there's a fat, mellow component at the attack. The sharp, bright part of the sound is essential, but I like some fatness as well. I also like a delicate, airy aftertaste. I like to have some legato, without a lot of sustain. That lets me craft the notes which is more musical. I think what I really like is the complexity, a vocal quality to the notes which lets your uke talk as well as just play.
The flourocarbon strings, and the harder woods, tend to give a lot of sustain and power, but there's something missing to me, overtones, or variation, or something like that.
One thing I hate is the C string "woofing" which happens a lot and comes out on recordings. There's about 3 db of extra volume in the 180 hz range, and it can get ugly. I heard it a lot with most commercial strings, I get less with natural gut strings. I think most of the string sets have a C that is higher tensiont than it should be, and the low C and D just come on too strong if you hit it too hard.