I know not everyone dilates as per text books!!

BUT closed to 4cm is hardest and often longest, and generally people dilate 1cm - 1.5cm an hr.

For someone to get to 9cm and take 13 hrs for pushing sounds completely weird and unacceptable.

Maybe they havent told you full story or they havent understood what was said to them so have told you the wrong info.
i wish that dilation was correct for me.
i was 1 cm for 10 hours, epi in and fully dilated in 2 hours.. then pushed for 30 min

but wow 13 hours of pushing, after an hour id be saying do something to get this baby out she is stuck