sorry if this is a frequent question, but I did not find an appropriate answer:

If I have a GLM with a non-normal distributed outcome (such as Poisson- or Binomial distributed), does it make sense to check normality of the residuals?

Intuitively I would say no, since I explicitly assume that the outcome is not normally distributed. However, in different books QQ-plots or Histgorams for GLMs to check normality are suggested and performed. What is the motivation here?

Wouldn't it make more sence to use e.g. in the case of a Poisson-model other plots which are able to prove if residuals are Poisson distributed?

Thanks