I know what you mean, it does seem the same, but I dont know the diameters of the braided fishing line.
You will need it to be like .026 or .022 those are your standard serving sizes, depending upon string strand count.
Also, you would need to wind it onto the spool of a serving jig, as you dont want to just wind it on by hand. I could see using it as a serving tool refill though, especiallyif you use a loop. The only thing contacting the servingin that case is the arrow nock.
Find out the dia. and let us know how it goes. Im willing to bet it would work just the same. Oh you may want to wax it some first,you wouldnt want itdigging into your string dry,that could cause a lot of friction, and probably string failure.
Whatever you do, I hold NO responsibility!