Well for overall RGB (Component) requires a sync signal. That is seperate syncs, composite syncs, or like my HD Box Sync on Green I assume. Source:
WikiI don't think Amiga RGB 23-pin provides Sync on Green. A simple question is: Would it work if I join Green + CSync together in one cable or is this a bad idea?

Well that is for people who only got such a box/converter with RGB only.
But, you're right, there's a VGA input on my HD Box.
If it's not for passthrough (I hope!) and can be used for 15kHz VGA (is that a standard??) it might work with an Amiga VGA adapter only. ...making it a cheaper solution than buying twice price scandoublers.