I think that as long as they have plenty of time to grow leaves and roots and become healthy plants (needing warmer temps) then they should be fine.
You don't want them to drop too cold, I think they should just go to the lower range of temps that Phals like.
I've no experience of actually trying to force blooms, just what I've read. But mine naturally start spiking in the winter, we don't heat the house at night so in the winter the temperatures drop over-night. The phals go semi-dormant and stop growing, but by new-year the spikes are starting.
I think what you are forcing here is the NON-blooming. They would normally flower when they are still quite young so giving high minimum temp force them to put all efforts in growing instead of growing and blooming.
I dont think that harm the plant, you are just exploiting a behaviour of them