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Lots of independent sources suggest that the mast can increase resistance to capsizing and that losing a mast can make a boat more prone to capsizing.

https://www.morganscloud.com/2008/08/01/sailboat-stability-c...

Overall, the topic of sailboat stability is complex enough that books have been written on the subject: https://books.google.co.uk/books?hl=en&lr=&id=o3edvBByudgC&o...

I would not dive into conspiracy theories on the basis of whatever back-of-an-envelope intuitions you might have here.

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Also here: https://www.cruisersforum.com/forums/f55/can-a-mast-be-too-t...

>Counterintuitively [a boat with a tall mast] will be be more capsize resistant, capsize is a dynamic phenomenon and increase mast height provides a vastly disproportionate increase in roll moment of inertia which resists capsize. Stability is a static phenomenon even when the boat is moving thru the water and provides little if any resistance to capsize.