I think 12 words are enough for a single sig setup but I use 24 words because it only costs a little more time.

A 2 of 3 multisig using 3 x 12 words is more secure than a 24 word single sig.

You're more likely to lose access to your multisig setup than to lose exclusive knowledge of it.

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Discussion

Yes, the added complexity to the user of multiple 24 word keys seems like more of a liability than a benefit.