Madness and (weak) normality

We consider weakenings of normality in $\mathrm{\Psi }$-spaces and prove that the existence of a MAD family whose $\mathrm{\Psi }$-space is almost-normal is independent of $\mathsf{\text{ZFC}}$. We also construct a partly-normal not quasi-normal AD family, answering questions from Garc'ia-Balan and Szeptycki. We finish by showing that the concepts of almost-normal and strongly ${\mathrm{\aleph }}_0$-separated AD families are different, even under $\mathsf{\text{CH}}$, answering a question from Oliveira-Rodrigues and Santos-Ronchim