Yes, that's the kind of thinking that resonates with me as an astronomer, and when I talk to the general public and non-astronomer scientists, I find that a lot more people have a grasp of how hot it is at 1/5 of Mercury's orbit than 9X the radius of the Sun.

My understanding is that AU is measured from the center of the sun / object. Google tells me that the radius of the sun is ~0.0046AU (1/215th of an AU).

IMO light-seconds is actually a really nice unit for interplanetary distances. 1AU ~= 500ls. Not only is the scale nice for human arithmetic, but it serves a dual purpose of also telling you the light delay.

I'm pretty interested in this kind of thing but I couldn't tell you to within an order of magnitude Earth's distance from the Sun in metres or miles. I could work it out - it's about 6 light minutes and light travels 300,000 km/s - but I wouldn't expect everyone to do that. So expressing the distance in AU is relatable to me. Looking from the probe at perihelion, the sun will appear 25 times wider, or 625 times larger, than it does from Earth.

And does the fact that AU comes from the earth's distance to the sun make it self-centred? Sure, but everyone we need to communicate with would equally find it centred on them. Compared to other measures like "the distance from the king of England's nose to the tip of his outstretched finger" it's quite neutral.