You are thinking exactly right. Both lube and alloy hardness have a dramatic effect on pressure.
With stout loads, the harder the bullet the lower pressure will be. Mild or low pressure loads don't show much pressure difference with bullet hardness, nor does it matter.
No bullet lube made, (that I've heard of) will produce lower pressure than LBT lube. The difference in pressure is absolutely dramatic. For example, if you were to work up a maximum load in your BFR using LBT bullet lube, then switch to any other brand, you'd have cases stuck so tight you'd have to drive them out, and possibly blown primers, or split cylinder throat. The difference is that dramatic, and in rifles the difference can cause deadly pressure increase!