Hi i.sudbery, thanks for your quick answer! Thanks for the link, though it's not that I don't know what the flags mean, it's that I don't know which flags Hisat2 and Bowtie2 have the capacity to assign.
e.g. if my Hisat2 run outputs flags such as 403 then I guess I can immediately remove non-primary alignments without further processing... but the Hisat2 manual says it doesn't assign this flag to the SAM files it outputs.
Which makes me wonder, are these mappers also capable of detecting PCR & optical duplicates internally, then assigning the appropriate flag (1024)?