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If someone finds themselves losing more/less at 6-max, it's at least partially because he/she is just playing more hands.

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I completely disagree with this logic. Since we speak in bb/100 the number of hands you play has nothing to do with your winrate. Unless you are talking about the number of hands you don't fold.

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Let's modify it then: If someone finds themselves losing more/less at 6-max, it's at least partially because he/she is just playing more marginal hands.

The playable/raisable range of hands in 6-max is necessarily greater than it is in full ring, therefore win rates will swing more. In full ring more of those 100 hands are electively played, so those hands will have higher EV, meaning less variance.