Sorry you've had no local or personal experience shared here. I have no idea about the taxis.
I have seen reversing tides, not in in this particular location, but elsewhere in Canada and the US (Alaska). My personal experience is that it happens somewhat gradually, and not on a set and defined schedule (it is after all, nature). I would suggest arriving at least 30 minutes before the high tide time chart . . . and expect to hang around at least another 30 minutes afterwards.