These are typical figures. Check the label on your own appliance. It lists watts, or amps you can multiply by 120 to get watts.
Motors need starting watts. Fridges, freezers, pumps, furnace blowers and air conditioners pull a short surge each time they kick on, well above their running watts (see the Starting column). Heaters, coffee makers and chargers don't.
Running several loads adds up. If two motors start in the same second, both surges stack. Honda's own advice is to start the big ones one at a time.
RV air conditioners: on paper the Champion 4000 has the starting watts for a 13,500 BTU unit and the WEN 56360i is short or close. On the tighter one, a soft starter added to the AC is often what decides it. Micro-Air, which makes the EasyStart, says it cuts startup current by up to 75%.
Outlets: Neither generator lists a 240V outlet in the chart above, so anything that needs 240V is out. Check your appliance's label. Both have a 30A RV outlet (TT-30R). Running watts still cap the total, whichever outlet you use.
Water heaters: If your water heater runs on 240V, neither unit can power it, since neither lists a 240V outlet. On watts alone it would be "No" on both.
Well pumps: Check your well pump's voltage. If it runs on 240V, neither unit can power it, since neither lists a 240V outlet.
Home backup: Champion's page says the Champion 4000 isn't recommended for emergency home backup.
Load watts: Champion Power Equipment, Generator Wattage Chart. Champion makes the 4000, but the chart covers appliances, not generators. †Coffee maker: 600W for a 4-cup maker from Honda's wattage guide, and 1,200W from Generac's wattage worksheet. Microwave: the wattage on the box is usually cooking power. Honda's guide lists a 1,000W microwave at 1,500W from the outlet, which is "Yes" on the Champion 4000 and "One at a time" on the WEN 56360i. None of these charts list an 8,000 BTU window AC, so it falls between the 5,000 and 10,000 BTU rows. Start-up advice: Honda. Soft starter: Micro-Air.