In my experience both HOD1 and 2 have showers available, however there appears a difference in policy on shower time being taken off the punt.
In my 2 visits to HOD2 I turned up early to shower and returned to the room to start the punt on time (then showered again at the end, once with the girl
In my only visit to HOD1 the other day, I checked on the phone if I could turn up early to shower. They said I should call them as they might have a customer.
I rang from outside 15 minutes early and they said they'd check to see if the girl was available early. I said I only wanted a shower at this time, rather than starting the booking earlier. They said it's the same thing
....So I didn't bother with the shower at the start afterall, which detracted from the experience and went against my usual preference.
Had a shower at the end anyway and the punt was otherwise great. No evidence of any other punters at any point.