Good question Ross
You can think of line and rigging wire as springs.Within the elastic range of the material, the relationship between stretch and load is linear. If you have a material that stretches 5% at 25% load, that material will stretch 1% for each 5% of rated strength. If you start at 5% load, the stretch will be 1%. If the load goes to 25% the stretch will be 5%, a change of 4%. If you start at 10% load and the load goes to 25% the change will be only 3%.The logical conclusion is that if the halyard is tensioned to 25% to begin with, and the load from the wind maxes out at 25%, the halyard will not stretch when the wind comes up.So, in theory, you are right. Setting the halyard up very tight to begin will reduce the stretch from wind loading.You were also correct about line size. For example if one halyard is rated 1000 pounds and another is rated 2000 pounds (both the same material), the bigger halyard will stretch only half as much as the smaller one.The reason we put comparatively large loads on standing rigging is to pre-stretch the wire so the loads when the boat heels don't increase the tension required to keep the mast straight.It does not work so well with sails. As the tension in the luff of a sail changes, so does the sail shape. Halyard (luff) tension has to be matched to the wind load to keep the sail in the correct shape. The sail itself stretches, so as the wind load gets higher the balance of tensions in the cloth changes and the sail gets deeper (more draft) and the position of maximum draft moves aft. The tension in the halyard (or cunningham) restores the tensions in the sail to move the draft back to the design point of the sail.If you set the halyard up dead tight to start with, you will reduce or eliminate halyard stretch due to wind load, but you will have vertical wrinkles in the luff of the sail in light air, and the sail shape will only be correct when the wind load balances the halyard tension. Just as the jib sheet tension has to be adjusted as the wind speed changes, so does luff tension.With stretchy halyards, the sail shape goes to hell and drive is lost as wind speed changes until the luff tension is corrected. Reducing halyard stretch reduces the distortion caused by changes in wind speed.Did that make sense?Randy