I have had this happen thrice this year. The first on a mormodia I tried to twist off but ended up breaking the roots off the growth
. The second on the same plant I cut off with a sterile knife and potted separately, it took off and is doing just fine. The third on a cycnodes I cut as well, and it is just now starting to grow, little by little. The mother bulbs are doing fine and maturing basal growths. The "keikis" (minus the decapitated one) are all doing fine as well.
That being said, my cyc cooperi started a new growth halfway up it's bulb, that I turned sideways and left intact. It was a first bloomer last year and the bulb was not very big, so I felt the two needed each other for survival.
Don't really know where I'm going with this or if it helps. Just saying, plants are very adaptable and want to survive as much as we do. If the bulb is full of vitality and the upper growth looks like it can support itself, give it a chance. If either look weak, keep them together. Just my rookie opinion.