I didn't say it said tire life on the timing sheet, in my original post you decided to take umbrage with I specifically pointed out that with both sources of information(the f1 website and the timing sheet) I had the data required.
I've also explained, Basically every team used a single set of mediums and a single set of soft tires. Everyone did their long run on used tires, Hamilton and Vettel. Both used them for their qualifying type run, Vettel did 2 laps extra earlier in the fast run though they weren't fast laps as you can see in the timing sheet. The only issue with the F1 website is that you have to work around what is horrifically laid out data. Each one of those tire symbols is just what they left the pits on, not denoting a new set of tires. For Vettel, well I'll do it off memory because the f1 site, as in everything else it does wrong, doesn't have the more detailed(yet also partly incorrect ) session data for previous sessions, just the fastest laps listed.
The last stint by Vettel was actually on softs, not mediums, that was the 16 lap stint. The two medium's listed before were just single outlaps, making changes or testing engine, doing whatever, quite a few teams go out with tires doing that. He then went in and got softs and did 16 laps. Kimi likewise, he only used one of each type of tire, those are just multiple pit in/out laps, and he did his long run on mediums, not softs, which isn't even shown.
F1's data accuracy is... questionable. Hence again after the race using various sources and what we know from visual confirmation. Crofty I believe mentioned Vettel was actually on softs but the data was telling him mediums.
The only thing they seemingly got right was the numbers, in the live data they list number of laps next to each of those tire symbols and those appear to be accurate, ish. In reality you have say medium and it says 5 next to it to say they did 5 laps on that stint, later on it will have another M and 9 next to it but that means it's done 9 laps total so 4 laps for that stint, the problem is when they add the number to the wrong tire, when you work out the right tire you can add up the numbers accurately... it's almost the only useful feature of that entire website tbh. YOu can use the video and the timing data to actually work out which tires they were on then add them up yourself and that is how you end up with tire life for each kind of tire. As said Vettel/Ham did 16 laps on softs, Ham did 3 laps on them earlier and Vettel did 5. 2 lap tire life difference, Ham 1 second per lap faster for the majority of the stint, dropped off a couple laps earlier but not enough to make him slower than Vettel.
So as said, maybe Vettel/Ferrari have a few laps extra life, but think about this in regards to the race. If Hamilton is out front and Vettel sat in his dirty air, that will change quickly in race. If Vettel gets a good start he may get ahead however Hamilton will be faster most likely.