No - that switch is designed to either NOT connect the battery to the winch, or CONNECT it in ONE polarity (wind) or the REVERSE polarity (UNwind) - depending on whether you push one button, the other one, or NONE.
The valve you linked is "open center", meaning it will pass thru (effectively doing nothing) until you energise ONE of the TWO coils, in which case (say) the "B" port will pressurize whatever you're running and the "A" port will return to tank - energising the OTHER, "A" port (by energising the OTHER solenoid) will pressurize that side of whatever you're driving with the solenoid valve, and the "B" port will allow the OTHER side of what you're driving to "vent" to Tank.
That valve
ALSO needs a Sub Base in order to have ANY connections that'll accept normal hydraulic connectors.
Sooo, you would either need TWO of those switches, one for each FLOW direction in that solenoid, or a different switch (SPDT with Center OFF),or a different valve - if you don't need quite as much flow, one of these
12/24 Volt DC 13.2 GPM SAE 8 Solenoid Operated Double Selector Valve | Featured Items | www.surpluscenter.com
can use a single pole switch, either momentary, spring loaded or on/off, depending on what you want the valve to do. That particular valve I linked can run TWO different devices from ONE hydraulic source - with NO solenoid current, the pair of ports on ONE side of the valve are connected to the pair on the OTHER side (so you can STACK more than one if necessary to run THREE or more devices with ONE source) - when the solenoid is energized, the IN ports switch from the OUT-1 ports (opposite side) to the OUT-2 ports (located on TOP ) -
Those single solenoid selector valves can be used to get multiple remotes from a single remote, or used in the curl circuit of the FEL so you can run a grapple, etc, with minimal mods to the plumbing... Steve
BTW, NEITHER of those valves will allow "proportional" control by themselves, they're either full ON or CLOSED - but feeding them from a remote or fel control valve will allow whichever flow path is "ON" to be proportionately controlled by the control valve that FEEDS them...