Hope you won't mind a non TKE answer. We don't use Eta or Iota as a prefix letter. Though there doesn't seem to be an official ruling, it just seems to ensure that chapter names aren't as easy to make fun of.
Eta Pi chapter just seems to ask for trouble.
TKE of course may have a completely different reason.
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From the SigmaTo the K!
Polyamorous, Pansexual and Proud of it!
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