No, it doesn't make sense to have
pink in there in my opinion. Light red is not pink, it's just a colour where there is less green and blue than red.
Pink is a colour where there is amount X of red (usually full 100%), and then more blue than green. Like this:
RED #ff0000BLUE #0000ffMAGENTA #ff00ffPINK #ff55ffPink requires more blue than green to exist in the RGB colour mix to create magenta... and that isn't really viable in beams, unless canon supports pink in beams, which it doesn't (thank the lords of Kobol). The Shivan beams have two kinds of gradients: From white to red (for the core) and from red to transparent (for the edges). In this case, the fade from white to red to transparent in the edges goes like this - in hex codes, the colour scale for shivan beam should be from #ffffff to #ff0000 to #000000.
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBWhen there's full red component (#ffXXXX) in the colour, green and blue components should be equal. If there's a difference between green and blue components, the beam becomes more yellow or more magenta (or pink). That's in my opinion not necessary - or at least the beamglows should then be toned to have similar amount of blue in them to create the same relative amount of blue to result in pink in edges. I prefer the red ones, though. After all - no one is suggesting that the green beams should have some cyan, yellow or magenta in the edges, which would be the same thing as saying that red beams should have pink (essentially magenta) in edges...

Incidentally, I had a slight problem when I was meddling with beam textures. The vasudan beams too easily became 100% brighter than AAA, Shivan and Terran beams, only because they were yellow and thus had the advantage of using two thirds of a pixel luminence in computer screen on the edges of the beam, because
yellow #ffff00 is a mix of
red and
green, whereas red, green or blue beams could only use one third of it on the beam edges...

EDIT: I'm not saying that the beams should have a linear transition. Increased detail practically requires that there are some different colours present - but I would prefer some slightly orange streaks or lightnings around Shivan beams instead of magenta. It would also fit canon better than pink beam edges... considering that cutscene Lucifer beams were orange more than red.