OMC would not have gone to all the trouble to design one in there if it wasn't useful. You can run it for a few days like that but the benefit of having a T-stat is that it keeps your motor running at an optimal temperature, a temperature which dictates the spark plugs you are using etc. If you run your motor without a t-stat, it will run colder and that will carbon up your piston rings and eventually foul your spark plugs over time. One of the design flaws of spark plugs is that they foul only when you are farthest away from your dock.
Anyway, short term, your motor will run fine without one, longer term, you should put one in there.