Can't say I have done a specific test but I don't think that its exactly the same.
Telescopes don't focus all their light onto an eyepiece or a sensor. A lot goes past it hence the ability of a reducer to focus more of that missed light onto the sensor giving a wider field of view.
Eyepieces complicate the scene though. How much of the total light collected is focused into that eyepiece? Not all, how much though I don't know but some is missing the eyepiece or the sensor for sure. Perhaps not enough to make a big brightness difference but noticeable in imaging.
Greg.
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