I hate it when I see anyone just casually pour water on themself, then climb into the bath.That's how you do it traditionally! Many old baths do not even have showers and soap. Also, if you go bathing multiple times a day, you don't want to soap yourself every time.
It is too bad seeing old customs being attacked in the name of exaggerated hygiene.
The rule posted on the door says to wash first.
Some newer baths might display such rules, but in authentic places you won't see them. There, it is the rule to just pour some water on yourself first, then soak and then take care of the thorough cleaning.