I am mapping illumina paired-end reads against a transcriptome with HISAT2 and I'm having a moment of confusion understanding one thing which might be easy actually:

Is it normal to have sam flags that point at the same strand for both reads? The technology output should produce one read that maps on the *forward* and one read that maps on the *reverse* strand (when mapping against a genome) but I'm uncertain of what I should observe when mapping against a transcriptome. 

I guess the program should map one of the two mates and reverse-complement the other, but does the output flag (and mapping result in general) reflect the mapping strand of the reverse-complement or of the original read? is it normal to have many pairs with both mates on the same strand? 

Please help me out of this "theoretical" quicksand. 
It doesn't matter what you're aligning against, you expect PE mates to align with opposite orientations. The strandedness of the underlying data plays absolutely no role in this (your reads don't have strands they have orientations). Unless a very atypical library prep. was used, the flags you should commonly see in the resulting BAM file are 99, 147, 83, and 163. If those don't constitute the overwhelming majority of the flags then something likely went amiss.