There are no similar issues with sailing ships.
Sails are never designed to fit tightly within any kind of frame. To be effective they must be able to change shape and position, something that is done with lines (called sheets). Most sails are fastened to solid objects only on one or two sides (occasionally three) but in all cases those solid objects can flex or change position relative to each other.
For example the boommainsail of a normal single-masted sailboat is attached to the mast at the front, and the boom at the bottom. The boom is pivoted where it attaches to the mast, and also the attachment point can be moved up and down the mast, and the sail can slide up and down the mast and along the boom.. This absorbs strain due to changes in wind pressure (as well as allowing control of the sail shape), and is more than enough to cope with any changes in size due to shrinkage.