The combobox control has a buggy history, and often developers will attempt to alter the controls appearance but will find that the win32 shell team implemented a group of pixels to draw the glyph, but it is all tied together so you have to either draw it all yourself or leave it alone in respect to its default style.
There are also undocumented API messages, which stump many. Not my favourite control to work with, and often I just use a Edit control and I draw a non-client area region and paint my own dropdown with highlight events (WM_PAINT, WM_MOUSEMOVE) with a Hittest on the rects region, and I go from there in respect to the label items.
I probably won’t ever use a traditional combobox anytime soon lol