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While I can't assist with quantitative analyses, I can give personal feedback.
Many years ago, I had a 10" Meade Starfinder with a Thousand oaks full aperture solar filter. During a solar observing session I got curious as to what would happen to corrugated cardboard if I took off the filter and held the cardboard in front of the eyepiece.
Within a few seconds the cardboard was black and smouldering and within a few more, it was on fire.
That hit home more than any warning in a book about not looking through an unfiltered scope at the Sun.
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