Actually it did affect the overall production in my case. Cold water slows down growth by shocking plants. I have heavy/ clay soil and so water remains in the first 1-2 of inches cooling it down significantly. I doubt well drained soils will be affected as much as larger mass of soil will partake in heat exchange. I used to water straight from the well, now I direct some to a black water tank at the top of the property (where it warms up a bit), then I use it in the garden.
Alternatively you can see that constant cold-water supply of yours as a resource. It is a very sought after resource surprisingly. You can:
-direct cold water to your house initially, where it will cool the house in summer months (the problem is humidity can condense on cold-pipes, basic air conditioning knowledge will suffice, it is the most simple AC )
-build a
pond, have koi or trout or similar cold-water fish
-build a pond near your pergola and plant large
canopy trees around to create shade. It will be the most pleasant place in hot summer months.
-in very hot but humid climates you can use cold water to catch water. Lay pipes on the surface around the garden (stupid cheap plastic pipes), let cold water circulate by a very weak pump. You would be surprised!
-most importantly! grow lettuce or other cold hardy plants in summer by spraying cold water couple of times. As an example: