When I was in my room, the bathroom light where the shower is, which has a flush mount fixture and has CFLs in it. One cool white and other being daylight, put the two together kinda makes a clear MV lamp color. Is this true, yes or no?

I don't think a mixture of cool white and daylight can yield a color similar to a clear MV lamp. It is significantly different color, as it have only few spectral lines compared to CFLs colors.

In color temperature - It is fairly close. (Mercury lamps are nominally 4200K, but they appear to be higher temp in reality)

In spectrum - It is not as close, but the difference will be seen not at the lamp, but at illuminated objects in the room : The CRI difference is seen the most on objects with strong vivid colors. The spectrum width and uniformity is seen the most with desaturated, non strong colors. The matching between CRI and spectrum width can generally be assumed as a measure of light quality