I lied. I went back and looked and we did the ILS 4, which relevant to this conversation, has it's missed based on the localizer with no alternate. We also did the LOC 22 CTL, which also uses the LOM as a MAHP, but it's the alternate. I must've flown the 31 with my CFII as I remember those fix names. Yep; stopped reading too soon. I can definitely understand the confusion.