The part of the answer here that NASA always seems to skip (perhaps because it's not as fun as talking about all the cool heat-resistant technology) is that the vehicle is in an orbit that will only take it into the corona for a short time. While the closest approach is very close, its aphelion is (at closest) about the orbit of Venus. This gives it time to cool down after each corona encounter. https://www.youtube.c…
Short on what timescale though? Surely hours/days. Long enough to approach equilibrium, I would think.
The corona can be expected to be out to ~12 solar radii, which suggests about a day of really severe conditions. (The data pass is 30 hours, which suggests that's about right.) That's why it needs to be a really good head shield.
It's smallest orbit has a period of 88 days.