This is incorrect (unless you have installed some kind of aftermarket relay). Once you switch to both/all the batteries are then in series....
Sorry, but this is wrong. First, when on "both" the batteries are in parallel, not in series. Second, for batteries in parallel to equalize takes hours, certainly a lot longer than the few seconds from setting the battery selector to "both" and pressing the ignition. Third, if one battery were
completely dead it may now be damaged (one or more individual cells in the battery may have permanently reversed polarity) which would require replacement.
As cut and pasted from West Marine's "West Advisor":
Most single engine boats built in the last 40 years are equipped with two nearly identical (and undersized) marine batteries, used interchangeably for starting or house loads. Prior to starting the engine, the operator would turn the OFF-1-2-BOTH battery switch to the BOTH position to have both batteries’ full cranking power. With the engine now running, the switch would stay in the BOTH setting, and both batteries would be charged while powering to the day’s destination.
Once the engine was turned off (while anchored or under sail) the operator would (in theory) return the switch to the 1 or 2 position, and reserve a battery for starting. When it was time to crank the engine again, the battery switch would be turned to BOTH, or possibly to the reserve battery, and the engine would be started.