That may not even be quite accurate, as ships may "surrender" but everyone keeps shooting at them! It seems not possible, with so many ships, to do "manual firing", so we seem to be reduced to letting ships blast away, on "automatic". In the real world, of course, ships would surrender, and that would mean something. Typically, because there was a cash incentive for taking prizes, the captors would want to board and take possession.
One point that I thought of, today, is that in the real First Anglo-Dutch War, the Dutch typically towed disable ships, while I don't think that is possible in the simulation. It would be great if it were, but I haven't figured out how to do it, if it is possible. For example, for the last two days of the Battle of Portland, Michiel De Ruyter's ship was towed.