The Tammy takes a 95mm, that's not an uncommon filter size... You would be able to find a cheap one (just for testing purposes) for less than $50 USD. A proper one would set you back $300 USD or close to it, that's true; but you knew what you were getting into when you bought the Tamzooka...
Clearly, from the photos, the affected pixels are blown out; so I'm not surprised you can't recover any detail there. I don't think this is a natural phenomena, and by "natural" I mean I don't think this is being caused by light as it is entering the lens. I think this is contrast/edge detection aberration (I'm coining that phrase right now); which means the camera's processing is creating the problem under certain circumstances and, further I'll wager, once this aberration is there, it's going to be next to impossible to remove "globally", like you can with CA.
Methinks if you want to fix it CORRECTLY, you're going to have to learn how to avoid it, which may be impossible on a practical level (unless a CPL knocks it out) or... you're going to have to Zoom in to pixel-level using Photoshop or Lightroom or whatever you use, dial down your Healing Brush or Clone Stamp tool and do "corrective surgery" at that level. It's tedious but I've been known to do it because sometimes that's the only thing that works.
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Think your talking about what i had a crude go at down its chest.

