I certainly agree with Joe, but may have a little different thought. Do you have two different boats? I see an 1988 Angler (about 29 years old), and a 1997 cruiser. Do you own both boat?
I would not change the stripe, just because I didn't like the color, if it is in good condition. It is a lot of work, and expensive for a semi cosmetic gain. I think Joe's estimate of a sprayed LP is a bit on the high side. But all of the prep work is what is expensive. Often you can do the prep, and then have someone really good do the primer, color coat and clear coats. I have sprayed 2 part--certainly not the easiest paint to work with, and would agree with Joe, unless you have the experience with spray paints, to have someone who is really good (see their actual work--not just photos).
You can use single urethanes, such as "Brightstar" or a "silicone" based paint such as "TopLac". With the narrow stripes, I might use a wet brush, and tip; rather than roller and tip. (The wet brush or roller is dipped into the paint--the tip brush is wet with paint, but never dipped). I have seen some jobs which were brushed which could not be differentiated from a good spray job. Top Lac type of products last 3 to 5 years (out doors--much longer covered). 2 part LP and the silicone are closer to 5 to 10 years.
Putting on the wrap, over a part like the narrow stripe on the roof--or even on the below the gunnel stripe may actually be harder than covering the entire side of a hull. The reason is maneuvering the vinyl to get a perfect fit (On the top, work on the inside edge, do it very gradually on the curves, then work in the outer part, bring it under the lip and trim off any excess. If it were a straight line, it would be much easier.
I have always lived with the color the boat came with--even if I didn't really like it. Of course if you already have canvas or upholstery which matches the color stripe that is something to consider.