Yes. The reason I ask is in designing the illumination of a space with different types of light (cove, down, and natural) great care should be taken in harmonizing the ceiling/cove configuration along with the fixtures and bulbs to create a unified whole. Cove lighting illuminates the ceiling and if there is not enough distance from the source of the light to the ceiling, hot spots are created. Contact a local lighting designer/consultant to address your unique situation, there are too many factors involved to be solved over the internet.

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In most vaults like this you CANNOT do recessed lighting there is simply no room for the can or the electrical because of the vault. Typically this is why the track is used. 1. TAKE THE EXISTING TRACK HEAD DOWN SO YOU KNOW WHAT TYPE OF CONNECTION TO BUY. 2. REPLACE THE TRACK HEADS ONLY WITH SMALLER DISCRETE ONES. 3. IF YOU WANT A CHANDELIER YOU CAN POWER IT OFF THE TRACK AND JUST SWAG IT OVER TO WHERE YOU WOULD WANT IT TO HANG. JUST AS ADDITIONAL NOT THE SOLE LIGHTING FOR THE SPACE. The idea of putting recessed here kills me the architecture of the home deserves more than that IMO

Please no Edison bulbs anywhere and I like lighting in an entry to light the entry and in your case I would look for a fixture that does both up and down light since you need both IMO. Are you planning on sconce on the right wall? I think this entry is very grand and please no fans if at all possible .