I've had the factory-upgraded Double Impact's for a few months now. Chosen for their linear full-range response, 99dB efficiency and value. Some of the best speakers I've had in rotation, with many attributes to praise.
Negatives are size, weight, potential spouse-approval issues, and they sound like listening to speakers - where open-baffle/no-baffle designs (think Spatial, Pure Audio Project, Kii, Linkwitz, GR Research, etc.) sound like listening live first-person.
LXmini puts you on-stage/in-studio, hearing instruments/voices directly. Tekton takes you off the stage, into the front row/mixing room, where you hear the music through mic's, amps, and very good speakers.
DI's have more forward highs (than I'm accustomed to), which de-emphasizes mids (aren't as warm as I like). I've heard (from others) Lore's are more balanced in this regard, with warmer mids. For me, that issue was remedied in minutes with one slight DSP adjustment. But I spent much more time DSP tweaking to make LXmini's voice-matched to the Tektons - kudos to Tekton. (Linkwitz purists gasp!)
Enzo or Lore... I too have an aversion to overly bright tweeters (B&W - please not again!). That coupled with the hideous look of those gold tweeters would make the decision easy for me. But I haven't heard either of them, so can't comment on their sound - the most important aspect.
Get whichever offers fullest range and most linear response and a DSP, then voice them however you like. My Martin Logan electrostats used to have rolled-off highs - now they don't.