Semi-arbitrary definitions of what the boundary of an object is being just that, I do not personally consider the Corona to be 'inside' the sun it's a very low-density pale and large area around the sun, not really comparable to our atmosphere even. The actual 'solar atmosphere' is traditionally defined as five regions of increasingly lower density, the fourth of which is the Corona and the fifth of which goes all the way out to the heliopause, out past Pluto and one of the more common chosen borders for the solar system. I wouldn't consider the Corona itself any more part of the sun proper than the heliosphere which includes Earth itself.

But the place moves, for instance if Jupiter were on the opposite side from the sun and at it's own closest point to the sun, and all the other planets were lined up on the other side, that point would be much closer to the sun's core then when Jupiter and the other biggins are all on the same side, though realistically the barycenter moves mostly in accordance with Jupiter's location on it's own ellipse relative to the Sun. It's not a Lagrange point or anything so it's own location doesn't have any major weird effects as it dips around the Corona, but it does move and will be in the photosphere, which is undeniably the sun, from time to time.