PS, most sympodial plants bloom on new growth, compared to monopodial that blooms on the same growth repeatedly.
Keikis (which usually grow well above the base of a pseudobulb or cane) can be removed when the root structure is sufficient to support the plant.
As long as the old canes are alive, their roots are supporting the entire plant. I would separate the new growth from the old only if the newer growth is jeopardized by the old.