I have a Honda EG2800i that is rated for 2,500 running 2,800 starting watts so half the size if this unit.
During the Texas "deep freeze" I ran my furnace fan motor, refrigerator, microwave, TV, PC lights and coffee maker. Kept our phones charged. I just can't run anything large like my central air, electric stove or electric dryer.
But like you said I had to be careful about managing the load.
I would run the TV, lights and PC all the time - but would only run the coffee maker, microwave or furnace blower one at a time.
I look at it this way -
I would rather have a smaller generator - and actively manage the power load VS having a big unit that can run whatever whenever.
The main reason is gasoline usage. I don't care about the cost of the gasoline - but when the power is out it is hard to buy.
My unit ran for almost 60 hours straight - only stopping to fill up with gas and change the oil. I was getting 12 hours of run time per gallon of gas. Using just shy of 5 gallons.
My neighbor has a giant unit - he burned though 5 gallons of gas the first day - and then would run his for a while to warm up the house then sit in the dark with no power.