Cool stuff, thanks for your efforts.
I also tried a climb test at your atmospheric settings, of a clean aircraft with 100% internal fuel, burning to 600 km/h and then climbing at 870 km/h TAS to 7000 m.
It took me about 4:10 (good), I spent 425 L of fuel (good), but I ended up 55 km from where I took off, and not 40 km as in the chart. Did you measure that, travelled distance?
EDIT
Wait, I guess I should have flown level until reaching 870 TAS, then started climbing. I kept climbing after TO and got up to 870 TAS more slowly. I'll do it again!
I tried again, and that took me even further away. So it seems the fuel consumption and time is spot on, but the distance taken is off by 50%.
EDIT 2
What am I missing with that table? How can they possibly get 40 km? If you fly 870 km/h TRUE AIRSPEED for about 4 mins you'll have moved 870*4/60 km = 58 km through the airmass. Since you're only 7 km up at the end, you have basically the same distance across the ground too. I don't understand how they've found 40 km. Is there some definitional matter I'm missing or a term I'm misunderstanding?