I stick with the original fastener types with our 50's era wooden Chris-Craft. CC used silicon bronze wood screw for all wood to wood fastening then (above and below waterline).
I do make one general exception though, and use 304 stainless to replace worn-out chromed or nickle-plated brass fasteners that were used for fastening deck hardware to wood.
The SS fasteners I get at the local marine store or less expensively at Ace Hardware is called 18-8 stainless, which is essentially 304 stainless. As I understand it, 18-8 stainless is a general designation that includes closely similar 304 types: 302, 302HQ, 303, 304, 305, 384, and XM7 stainless steel.
I use SS oval head philips sheet metal screws for fastening deck hardware to wood where the full holding strength of a wood screw is not required. Most of these screws are used on varnished wood, so they have to be removed and refastened at least once a year for varnish recoats. I treat the screw holes with Captain Tolley's Creeping Crack Cure (!) every time. This is a penetrating polyurethane sealant that maintains the screw threads in the wood and insulates the wood from galvanic corrosion. The screws are also bedded each time with Sikaflex, Boatlife or similar sealant.