Thanks Valentina for the feedback (I had missed your response before). My understanding is that count data are not normalized and that ALDEX2 uses CLR transformation for compositional data. So, I wonder why you are suggesting to use CLR on the count data and not on the normalized (compositional) abundance data.
I see two options here (please correct me if I'm wrong):
1. Use CLR transformation for the normalized abundances and then use any standard statistical test as needed
2. Just work with the count data (instead of normalized abundances) and use any standard statistical test as needed.
If these make sense to you, do think that one of these two options might be more appropriate than the other?