Is it better to arrive not preconditioned and let’s say it limits to 80kw, or allow to heat up and reach the full 150 or 250?
I assume that, by 'better, you mean least impact on battery life.
First off, unless you arrive at the SC with a very low SoC, you will likely not charge at the full rate. Even then, max speed charging occurs only for a short time before the car starts backing off the power. But, those few minutes can make a big difference in how long you sit at the SC.
By preheating prior to arrival, assuming that you are traveling significant distance to the SC, the car will have enough time to bring the entire battery up to the needed temperature for full speed charging. I often see my car starting preconditioning many miles in advance. This should also allow the car to maximize the use of waste heat for most of the preconditioning so that the impact on range is minimized.
There was a recent post here of a long-term study that showed that supercharging was no worse than slow charging on battery health. Tesla seems to have done a good job with battery management. It's likely best to let the car manage the charging for you.
But, even if you don't believe the results of that study, assuming that you are like most people and charge the car primarily at L2 rates, using SCs at full rate for the occasional trip should have minimal impact on battery life.