Short cycles and TTC

Sooo, I have very short cycles. Usually around 24 days. As far as I can tell, I ovulate every month. I'm trying to figure out whether early response pregnancy tests actually work in detecting pregnancy in someone like me "5 days before the missed period." Because 5 days before my missed period is usually only 9 or 10 DPO for me, whereas for someone with a longer cycle, they might be further along in the post ovulation part of their cycle. Does anyone have any experience with this? Did anyone with a short cycle have a BFP that showed up later than expected?

Thanks ladies!