Issues

13,000kms in 12 years! Must have sat around a lot. Smacks of fuel deposit problem. Guess you've also cleaned the injectors. Tank breather tube isn't blocked by a wasp nest? Or the muffler?

Ride with the fuel cap unlocked. Sounds like it’s a fuel vent issue to me.

I have had something similar . The hose FROM THE fuel tap was kinking when it got hot  . Cold the hose would hold its u shape but would turn into a v when warm  and stave the motor of fuel . Any bends in hose or is it being squashed ?
Might pay to Put what area you live .

Yes the tank was chockers with unleaded residue but cleaned it all out and replaced the fuel pump. I have ridden it with the tap open. I have replace the whole throttle body and injector assemble off a 2012 that had just been wrecked. Same problem, the new injectors could have issue I suppose but you would think that is unlikely and would do it right from the start not after you have ridden for a while. The exhaust in fine has a Yoshi can and no CAT.
I will check the main fuel vent lines again and check all the sensor I can and see where that goes.
Cheers

Did you replace the fuel pump with a new one or used ? Sound like a case of not getting enough fuel . Stab that mesh in the fuel pump with a screwdriver and put a hole though it . Ive had filters that I could blow though, but fuel would not flow through it .