The FZ and FJR's do pretty much the same thing...
When in cold mode (richer mixture, higher idle), should you turn the bike off before you get out of that mode, you may have issues (as you likely found out).
On start up, (my sniffer works very, very well), I can smell the richness when cold. Once it idles down, can't smeel it (leans back out to normal %'s)
If you can, let it run 2-3 minutes BEFORE turning it off... If not, sometimes, it'll flood and the fix is WOT (to lean out / clear the rich mixture in the combustion chamber).
This was very common in the early FJR's(Gen I and Gen II's), the newer ones, I don't know..
The FZ6, not uncommon... Once you know what not to do, you'll probably never have an issue again (unless of course you repeat the issue).
Starting with WOT, when the bike won't start for no reason won't hurt anything. Just don't keep cranking it straight for minutes at a time (
not good for the starter). 10-15 seconds at a time maybe.
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Just looked at your video..
Your
dash lights dimmed badly twice and not as bad once. This is a general indication of either a not fully charged battery (very low voltage), or a failing battery.
Once its fully charged, check the cranking voltage, shouldn't drop below 11 volts. (I suspect you'll see 7-8 volts
cranking it over for
your bike).
A load test will give you an idea the health of the battery (checked at most auto stores for free).. Once running, you should see close to 14 volts at 5,000 RPM's(the system is charging)
Please post the results... (If not, read up on push starting-

)