In my experience, the worst canings were when each stroke was delayed for ten seconds or more. Just as the pain had reached its peak and was about to subside, the next stroke fired it back up to a higher level. It was the duration of the intense pain rather than its absolute level that was difficult to handle.
The cane sounds to be quite a thick heavy one and your description of its effects is what I would have expected. It probably bruises your bottom quite a bit. If the same one is used on your hands, I’m not surprised you find it severe.