Thank you, Vincent.
I believe my question stems from a possible misunderstanding of what occurs during meiosis.
I previously thought that during prophase I of meiosis I, homologous chromosomes (including PAR regions of X and Y chromosomes) undergo crossover of homologous regions. Consequently, there should be no significant difference in the reference between males and females within the PAR regions of chrX and chrY, as these regions are continually exchanged in a similar manner to autosomal chromosome pairs.
While individuals may exhibit unique variations, duplications, deletions, and expansions, the PAR regions should be identical in terms of reference, assuming we consider the T2T a reference assembly.
From a practical standpoint, I want to analyze regions with the number of perfect match positions on the genome, such as when designing aCGH probes and NGS baits. It is crucial to understand how many regions these are homologous to. For GRCh38 (hg38) and GRCH37 (hg19), accounting for PAR matches was relatively simple, as the usual references have the PAR regions of chrY hardmasked with N, so all baits that match the PAR regions only return hits on chrX.
If desired, we can calculate the same position on chrY by simply adding an adjustment value. For example, position A in PAR2 of chrX corresponds to position B in PAR2 of chrY by a constant offset value N. This N value can be determined based on the length of the two chromosomes and the start and end positions of the PAR regions in these chromosomes.
I do not regard an NGS bait with only two perfect maps, one on PAR1 of X and the other on the corresponding PAR1 of Y, as two distinct homology areas. To me, they are the same as those on autosomal chromosome pairs.
However, this simple adjustment is not possible with T2T since the PAR regions are not of identical size.
Moreover, considering automatic genome annotation pipelines like Ensembl and GENCODE, these pipelines treat the PAR regions as a single entity for gene annotation purposes. This new information could disrupt that assumption.