I also like this better. You've retained enough of the flute sides that they're not lost. (black cards/ "negative lighting" will help hold them against a light BG)
I don't like the table edge/hard transition. An "infinity" BG (i.e. paper) would be better, or you could stand the flute on top of another one turned upside down. That raises the flute up the BG and away from the table, and the inverted flute acts as "the reflection."
I also think you were very close w/ the first image...just needed to regain the sides.
It's also "more typical" for the top rim to be almost flat as in your last image... that tends to look "best" in most situations.