Frank
The problem with Hards is that even if the temperature plays a bigger part so Softs would drop out due to overheating then there are still the Mediums coping and usually still faster than Hards, except if we overdo it and there's Hards only at certain temperatures. The higher range of Hards also doesn't really matter because of fuel weight. But if Hards are made faster we'd be back to the times when Mediums were useless and if no sweet spot is hit Hards will again be often better than Softs especially in (north hemisphere) summer.
What might work is if temperature increases wear rate significantly. So in hot temperatures Softs are still usable but move into Super Soft territory which mostly drop out due to both overheating issues and severly limited range, Medium take up the middle ground and to go long there's only Hards left. But it isn't solving that only 3 compounds are useful at any given time at best.
Another method would be giving each compound an own temperature/performance graph but besides probably more work I think there's a certain risk to define a single working tyre and strategy for each temperature range on a track.
There's only one fix to all this:
Get back to the old tyre performances (before the "tyre update" in 2018) and just close the gap in % tyre wear between the four different compounds. Softer tyres have an unmotivated high wear, it was the only thing to do back in 2018 but devs just reworked the whole performance of different tyres and kept an unmotivated huge difference between tyres wear. These are the results.
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