I'd suggest that William NOT surviving should be a very unlikely outcome of a successful Anglo-French (or either one alone) intercept.
In the situation given, an Admirals first duty will be to take out the transports. He will (should !) use his battle fleet to shield smaller ships (frigates, 5th and 6th classes and fireships) that can wreak havoc amongst the unarmed transports. So, get the battlefleet into the midst of the enemy mass, and try to insert it between the enemy battle fleet and the transports.
William will certainly be on the Dutch flag ship, surrounded by the biggest war ships. The Anglo-French admiral has no business being anywhere near them. This isn't an action to sink the enemy battlefleet, or capture enemy warships ,let alone to pursue 'gloire'. The admirals duty is to sink , burn or disable (any will do it) those transports. Engage ,rake , and move on. a disabled transport is unlikely to be a threat. Don't waste time capturing them, just savage them, and move on to the next. Getting involved in battleship duels is just a distraction from that purpose. Of course, the opposing admiral will be doing his best to lure the Anglo-French into warship duels, and draw them away from the transports.
Problem is, nine out ten admirals will forget , in the heat of battle, why they are there , and go whoring off after glory and ship-of-the-line combats.