When I had my range hood down some time ago I completely re did my fan and lights. I sealed up the range hood in the front so the fan would draw all the air up thru the filter and out thru the exhaust area in the wall, installed a huge 12V brushless fan with two speeds, added two extra lights and redid the switches. Until one looks it's amazing how poorly the front area of the fan box is sealed to the switch and indicator panel which greatly reduces the fan from drawing air up thru the wire mess filter and exhausting that out thru the wall ducting reducing it's efficiency to close to zero. A lot of the exhaust is actually going into the cavity in the fan area plenum that is open to the front switch/indicator panel area on the front of the fan hood. Now my fan really draws the air up thru the screen and exhausts it out thru the wall duct much better than it was originally. I have pics and details of these mods, but didn't include them here since this thread is about lights and not the exhaust fan in general. Since the new fan was two speeds I had an old two speed labeled rocker switch like the ones already on my hood and installed that in place of the original switch and moved that switch to a blank slot to the left of the existing light switch to control the two new lights I installed.
Picture of the new switch set up .... notice the dual speed fan switch on the far right and the unlabeled switch to the left of the switch labeled light which is now for the two new lights I installed.

Picture of the two new lights. These are lights from WM (12V general "dome lights" - $5.88 each) and now I have the option of just the original light, just the two new lights that really light up the stove 100% better than the dinky OEM one or running all three. Because they are now on each side of the fan fixture they remove all the shadow areas on the stove top that existed with just the single OEM light in front.

Larry