Just a note: CSV means comma-separated-values, but if this is TAB separated, it's not really CSV.
If the data in the sections are important, I suggest you use READCELL, as that will bring everything in as the right type.
C = readcell(filename,"Delimiter","\t")
If you don't care about the headers, then readmatrix might be better, and you can skip those headers since they all seem to start with '#':
A = readmatrix(filename,"CommentStyle","#","Delimiter","\t")