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Tyre economy and tyre temperatures

Hi all,
recently I found both my cars struggling a lot while managing the tyre temperatures. Especially when using the softer compounds (of course I'm not talking about a Supersoft at Barcelona, of course), I necessarily have to keep the push level to the minimum. Otherwise, as soon as I raise it a bit, the temperatures would go up constantly until total overheating.

I didn't fall behind in Tyre economy skill, as I try to keep my car's skills balanced, but I figure that focusing research on that field would directly improve the temperature management. Can anyone confirm this, before I waste a lot of Design points for this problem?

TL;DR: Does Tyre economy influence the temperature of the tyres during the race?

Nope, it's tyre life not temp

I see what's wrong Italy caught you off guard

SS very low
S very low
M very low
H low

if it was 10 degrees

SS very low
S very low
M low
H neutral

I'm afraid I didn't understand your second post.
Anyway I hoped it could improve my situation. That is how it works in the real world: a car that is more gentle on the tyres and wears them less, keeps their temperatures lower (see Ferrari vs Mercedes, F1).

So any idea on how to improve the temperature management?

James 2nd post lists the push levels for 'normal' and lowest possible temperature at the Italy track. I'm afraid that until the system gets an overhaul super softs are bound to the lowest push level for most tracks & temperatures most of the time. Softs allow low push level more often/for longer periods of time but are still far from reaching neutral push territory.

I confuse lots of people don't worry about it. The thing with real racing is the teams can lower or raise tyre pressures to benefit the tyres, far as I'm aware one pressure does all here.
We too can prolong the life of tyres by keeping them at optimal temp, when they are in the red they wear out much quicker than a tyre that is at optimal temp range.
Big problem is we are coming into summer so the push levels will all be going backwards. Hard tyre in winter was High push level & it lowers to Neutral in the summer, but if it's really warm it could become Low push level.

The only way really to improve is through experience and watching what everyone else is doing around you and try go 1 lap extra than them on the same tyre, undercutting very rarely works. just because we are re-fueling. He who pits first is heavier exiting the pits while he who stays out is light and pulling away.

So if I am reading this correctly this is the more common tire temp management setting per compound?
SS very low
S very low
M low
H neutral

But as the temp drops this can be increased to more:
SS neutral
S neutral
M High
H very high

Without giving away too much!!

Run it and you will find out, every track, car & driver is different.
That's the beauty of it.
I could tell you pin point lap per lap push levels. & you would turn around say no mate, actually I think you will find I could use push level ??? up until lap 14, before I had to lower to push level ???