Earlier quoted context omitted.
If you want to be able to control hue still, you can use CIE LCH which is comparable to HSL but better matches our colour perception.
Yes, LCH is easier to use for picking colors than other CIELAB color spaces. To try an LCH color picker, you can use http://davidjohnstone.net/pages/lch-lab-colour-gradient-pick... (as linked in another comment). You can also use the better-implemented color picker for the HSLuv color space at http://www.hsluv.org/ . HSLuv is just like LCH except that it stretches the saturated colors for each hue so that any saturat…
To be clear, HSLuv, is based on CIELCHuv, the cylindrical transformation of CIELUV [0]; the LCH in David Johnstone's colour picker is CIELCHab, the cylindrical transformation of CIELAB [1].
Of course, that doesn't contradict your comment about the pros and cons of HSLuv's "saturation" component.