Why do people build football models using poissons distribut
The Poisson distribution is a good place to start when modelling goals, but like you say it is flawed. There are plenty of excellent research papers on the topic and improving the accuracy of the model, so they are worth reading. But at the end of the day, it's exactly what it is - a model. Nothing's ever going to be perfect. You just have to be able to discern more information than the market (which isn't easy mind you).
But depending on what you want to do, and your strategy based off your model, varying levels of accuracy might be needed.
But depending on what you want to do, and your strategy based off your model, varying levels of accuracy might be needed.