On the subject of 'ropes' coiled or not, terminology does change through time, geography and the particular trade involved. Apparently reef points were called reef ropes when first introduced in the 14th Century.

The commonest cordage referred to as ropes would be mast ropes and yard ropes, used to send up or down yards, topmasts and topgallant masts. But as a generic term to include all the various lines, tacks, sheets, braces, halliards, tackles etc I don't have any problem with calling them all 'ropes', if there's a need to lump them all together. The only other similar term 'cordage' tends to suggest to me that it has yet to be put to use. The earliest nautical written reference to the phrase 'learn the ropes' dates from 1840.