The author doesn’t explicitly dissuade people from plugging in another multipoint/powerstrip/plugstrip into the end of the extension cable you’ve run into the other room. So I will. Don’t do that. There are plenty of low gauge, cheap extension cables out there which will degrade fast in this setup, and may cause a fire.
Also, if your landlord is okay with seeing this setup they probably don’t have insurance they’re worrying about, and are simply making sure you’re not actively destroying the property (rather than potentially destroying it with the fire hazard).
First of all, let's assume less than ideal conditions so base our calculations on 115V. 2,500 watts is going to be 21.7 amps; assuming a continuous load (which is pretty reasonable for a whole house) is going to need a breaker and wiring that's rated for 125% of that, or 27.2A.
That means the supply needs to be #10 wiring and should be fitted with a 30A breaker at the disconnect. A temporary power tap is not a suitable disconnect. And I highly doubt it's got 10 gauge wiring.
But I used the highest gauge I could find! I looked hard, but I couldn't find any with more than 16 ;p