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Here's the entry level EM10 III vs. the Fuji X-T2 I sold along with the lenses to buy my EM10 and EM5 and their lenses. The Fuji is CLEARLY superior as far as noise goes, but the little EM10 is also CLEARLY sharper with slightly better color reproduction and detail recovery than the X-T2, which was a $1300 camera body when I bought it new.
I really think you're overplaying your hand here, the OMD's are really wonderful little cameras even with their noise issues, which, again, can be trivially mitigated with just a tiny bit of high-pass filtering.