Even on the tetenal kit you do not rinse before the blix (referring to the book from my old tetenal kit).
I would use a stop bath after dev, then rinse, and bleach if you are concerned the pH will rise on the bleach before the end of it's useful life. I've use the home brand 99c 1L vinegar at 1+9 before, worked well.
Tetenal instructions for their kit;
"Stop Bath (TETENAL Indicet 1+19 or 3% aceticacid: 20s) increases processing reliability when the bleach fix bath is re-used several times)"
My place on the north coast where I had no problem rinsing didn't have fluorinated water if that makes a difference.