I have Wrist Heart Rate set to "Auto" (within the Sensors settings), effectively meaning "on" unless an external HR strap is being used.
Going into Power Manager -> Battery Saver, with all settings default, shows a Full Charge estimate of 48d.
Drilling down to Edit -> Wrist Heart Rate, the default is "Turn Off" (makes sense to conserve power). The other option is "Don't Change", so for me/most this effectively means "on", yet this gives a battery estimate INCREASE of +8 days (note the PLUS)!
Confirming this, changing the setting and backing up to the main Battery Saver menu, this now shows a Full Charge estimate of 57d (appreciate there's some rounding going on here).
Summary: OHR turned off = 48d, whereas OHR turned on = 57d !!!
I'm guessing that's not quite right.. are others able to confirm?