Well, there is and "old" saying in IT: "All data is shallow when is looked by many eyes". This is the wonderful thing of this forum. God knows I've been corrected many times...
But the point you make
stands: the description gives a totally confusing relationship between gears and speeds. Maybe we know now why Kimi is not winning any races...
Everybody talks about the higher revs you can get, but I really do not know how low you can (or should) go with an F1 engine (I remember the time Nigel Mansell stalled because he was waving to the crowd in the last lap and he let the revs go too low). The problem here (for me) is that I've googled many times for a power/torque vs rpm curve of an F1 engine without success. If we had this kind of information, we could calculate the "minimum" speed at any gear. After all, there is a pretty straight relationship between speed and revs.
Can anyone help here? With data, I hope. I remember that here in this forum somebody talked about having a program to obtain rpms from engine sound and that he have used it to deduce rpm from the TV audio track... maybe you have time to search for this thread and we could ask "the guy" himself.
The link I gave to calculate damage to the gearbox says that the figures in it are misleading because of confidentiality issues.

But if I interpret it correctly, the green curve is the "speed" (maybe rpm? maybe rotational speed of gear?), from 1 to 0.8.
This could mean from 19.000 to 0.8*19.000 = 16.200 rpm. If the max speed is 340 kmh (reasonable, Monza is the fastest circuit at 350 kmh, you mention 334 in sixth), then the minimum speed in seventh gear should be around 0.8 * 340 = 272 kmh. This could mean Kimi's lap transcription is right. This is the image:
The torque (blue curve in this figure) is abismally low in seventh (purple curve, seventh "step"): I interpret it to be between 0.5 and 0.8 the maximum torque (reached in third, with a curious value of ¿1.2 times the maximum?

)