Reading the sheet I think that 'Cold' pressures should be in the (empty) brackets and the numbers shown are 'Target' pressures. Pure speculation, but the target pressures are likely to be measured with pre-warmed tyres in the blankets as this is the last stage for the tyre before leaving the garage so makes the most sense to be put on a set-up sheet.
Using cold temps on the sheet would mean that to prepare the tyres they will need to be pressurised and then warmed. Not ideal for quick pressure changes before pitstops in a race. Using target (warm) pressures on the sheet means they can fill a bunch of tyres to a nominal overpressure and then release pressure down to what the desired pressure actually is quickly.
I am assuming that the Pirelli tyres use similar pressures to the pre-'11 tyres. Whilst I agree there will be some difference I doubt that the construction of the tyre is so different that the running pressure is double of what it used to be.
Using cold temps on the sheet would mean that to prepare the tyres they will need to be pressurised and then warmed. Not ideal for quick pressure changes before pitstops in a race. Using target (warm) pressures on the sheet means they can fill a bunch of tyres to a nominal overpressure and then release pressure down to what the desired pressure actually is quickly.
I am assuming that the Pirelli tyres use similar pressures to the pre-'11 tyres. Whilst I agree there will be some difference I doubt that the construction of the tyre is so different that the running pressure is double of what it used to be.