I have read three main reasons for standardising variables before something such as
1) Interpretability of coefficients.
2) Ability to rank the coefficient importance by the relative magnitude of post-shrinkage coefficient estimates.
3) No need for intercept.
But I am wondering about the most important point. Do we have reason to think that standardisation would improve the out of sample generalisation of the model? Also I don't care if I don't need an intercept in my model; adding one doesn't hurt me.