Long long ago, in a distant Datheads newsgroup many customers/prospects pleaded their case for wanting Sonic Studios to make an excellent cardioid or directional miniature mic product similar to the omni sets.
I resisted going to the 'dark side' of the head mounted/baffled mic array for well known reasons.
1. While Miniature directional mics do help reduce unwanted sounds, they DO NOT have good deep bass ability, or non-hyped natural sounding performance.
2. While most 'clip' these mics very close against head and clothing, these type mics really need a bit more 'air-space' to do their best work.
3. While they 'sometimes' produce a better live venue result, especially where there's already excessive bass, and a lot of competing crowd noise, I've come to believe body-worn directional mics mostly produce inferior quality live recordings over using omni sets.
So with omni, results are lower distortion, more faithful to the live natural venue sound, and consistently produce way more satisfying recordings, at least in my opinion.
If your venue location has too much competing crowd noise, you often have the option of simply moving to a better location, or maybe getting a few 'friends' to surround you on at least 3 sides creating an effective 'vow of silence' buffer zone.