Loren TM is awesome. So it Light Veritas. Internally debating if I use my Moogles for VoL or Elfreeda.
But yes, rates for banner rainbow is trash. I remember them stating it was a 50/50 chance of being on banner.
However, Gumi can claim whatever they wish without needing to back it with proof.
My understanding is it used to be 50/50 for on banner rainbows. 1%(0.01) rainbow => 50%(0.005) on banner 50%(0.005) off.
Now:
3%(0.01->0.03) Rainbow => 33.33%(1%)(0.005->0.01) on banner and 66.66%(2%)(0.005->0.02)off
Rainbow chance tripled, on banner rainbow doubled, and off banner quadrupled.
More rainbows in general, more on banner rainbows than before, but more soul crushing in the process as a majority of your rainbows will be off banner.
Edit:
cleaned up number formats to be a little more consistent and hopefully cleaner.
I mean they could still be lying and not lining up with JP; but majority off banner isn't outside expectations.