I guess the major issue is how often you change headsails, and whether you want to have separate sheets for each headsail or not.
If you go with the single continuous line, I hope you don't change headsails too often, since removing them and re-attaching them is a bit of a PITA. If you like using a single sheet and the way it is less likely to snag when tacking or gybing, you could get separate sheets for each headsail.
Separate sheets are easier to use if you change headsails often and can usually be flipped end-for-end to help even out the wear and chafe—something a single long sheet can't do. They do tend to snag a bit more on shrouds and inner stays.
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You know what the first rule of sailing is? ...Love. You can learn all the math in the 'verse, but you take
a boat to the sea you don't love, she'll shake you off just as sure as the turning of the worlds. Love keeps
her going when she oughta fall down, tells you she's hurting 'fore she keens. Makes her a home.
—Cpt. Mal Reynolds, Serenity (edited)
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Still—DON'T READ THAT POST AGAIN.