I call ours 'wings'.
Pack, ours are effectively about 1 1/8" thick. They have 'raised panels' inside and out. I presume they're wood cored 'glass. I have no idea how they're held in but they do accept water from within or perhaps simply around the edge of the flybridge. They have been freeze-damaged and cracked. A PO drilled weep holes at the bottom, and they do weep. Unlike yours and Harry's, ours have Teak trim top and bottom, but nothing about the way the Teak looks, including the bungs, tells me how they're mounted. Both your's and Harry's look as though they're through-bolted to the edge structure of the flybridge. Your's look as though they'll come off readily at the bottom, too.
As for restyling, I don't like the shape of ours either. None of the angles relate to anything. I'm quite sure sloth will put my restyling to a far back, remote burner. As built, the 'raised panels' on the wings and the sheer stripe were gelcoated blue. We prefer our all white look.
Pack, I suggest you acquire some cheepie underlayment and make full scale models of what you think will please you. Easy to do, and you could make alternatives. Paint 'em white (or varnish 'em if you're tempted to make wood replacements; I'd surely be!) so that the color won't distract you. Leave 'em up and see how they wear on you.
There are many examples of wings from which to draw inspiration. There are some really ugly ones (like ours).