Tightening it down a good amount definitely won't hurt it, although I wouldn't test that by going too crazy.
Keep in mind that a taut (no wrinkles) set up isn't just due to the ridgeline tension, but the tension of all tie outs working with each other. Get the ridgeline nicely (but not overly) taut, but then make sure each tie out is also fairly/equally tight (again, you don't have to overdo it, though) and the whole tarp tensions/smooths out very nicely.
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