I got 6 using a recently calibrated Dell 2209WAf (e-IPS) display, with moderate ambient daylight. I was already sure i did not get it perfect, but was bored bubble-sorting the color bars over and over again.
Also, i have a bit of an odd condition where colors seem 'warmer' when i look with my right eye closed and vice versa. I've always had this and it doesnt get worse or better over time, not does it pose any problem at all. I suspect it could be point mutation in the green cone, which are not that uncommon.
Women on average will be better at these tests, not because they have more cones, but because a significant number of women are actually tetrachromats, with 2 different genes for the green cone (on on each X chromosome). Little is known about the practical implications of this: the different cones are present, but how the optic nerve and the brain actually deals with their signals remains to be studied.
Naming colors is a different matter too, since it is always a subjective thing. We learn the name of colors by identifying objects that have those colors as children. Such as everyone will state that the clear day sky is blue. If you take a color-accurate picture of that sky and clip out a little piece, they may very well call the exact same sky 'cyan', or 'indigo'.
It gets worse when frame of reference gets involved: al amost-ripe tomato would be called red when next to a green one, but orange-ish when next to a fully ripe one.