Per my experience no winches and no inverters will run on alternator power alone.
They have high spikes and when alternator helps in recharging the battery, the power for high draw device has to come from battery.
Heck even my camper jacks will not operate on alternator. That's due the 30 amp charging wire, but still I need battery in camper to raise or lower 4 jacks.
Bottom line, it takes some calculation to make right call.
I was using 1500 W inverter for oven power -with single battery on my boat having 30 amp alternator. But boat did not have any other power draw, so the 30 amp was used for recharging in 99% and boat run at high rpm most of the trip.
Now if you have battery bank to power your AC and want to recharge it in 20 minutes, you need 200 amp alternator.
Actually I am thinking about doing such setup on my Sprinter.
120V AC on the roof, 2 house batteries with 1800 W inverter and the van 250 A alternator should keep the system running.
The 4-cylinder diesel in van probably sips less fuel than most RV generators.