I wonder if the shaded portion between the F and the C could be lighter..like white. Maybe that would differentiate them a little more clearly and cleanly... when the logo is that small ?
AFAIK it's the same one, just a bit bigger. Therefore at small size the proposal i guess could improve.
Best to test this one on homepage. Not enlarged. We can still use enlarged one in the future. If it will make sense. But there should exist a solution for small size too.