Hopefully I can remember what I was taught - a long time ago. Paraphrasing;
The strongest part of the tire is the shoulder, where the tread meets the sidewall. The less weight that is put on the sidewall and shoulder, the more pressure is required to maximize the contact patch of the tread - effectively equalizing the tread and shoulder strengths. The more weight applied, the more the sidewall and shoulder collapses requiring less pressure to produce a flat contact patch. This is why overinflation causes the center of tread to wear and under inflation causes the shoulders to wear.
Therefore, front of ST being heavier requires a lower pressure to maximize tire/road surface contact.
I don't know the truths to all this so it is not gospel. Just the way someone 'splained it to me.
grump