My read on this is that a straight in LOC can safely be accomplished from EDEMO but it is not technically legal. See note 1. It specifically states STRAIGHT-IN ILS not APPROACH or LOC.
That being said, once past EDEMO, 6.5 nm from TRE and established on the localizer, the crossing altitude for TRE is 1350' so, depending on your SOP what you would actually descend to, 1350' would be your minimum altitude until crossing the LOM (temperature corrected of course) thence the descent to MDA (T. corrected as well plus any other additions/corrections required).
Would the straight-in hold up in court? I don't think so. Would I do it? Only if familiar with the approach and authorized by ATC, otherwise it is the full procedure. If the G/S is out and the wx is down, I will err on the side of caution/ safety.
BD