I think it depends on the set
I know that when Lew Lipset auctioned off the Boston Braves Chickering Cabinet find a few years there were some collectors who believed that the total price would be greater if auctioned off as a set since the set was unique and thus the sole collector would be able to set his/her own market value on anything if he/she decided to sell.
This could be a very similar case in that this is the only extant set and although some singles are known; the buyer of the set would then control the market to a significant degree. Thus; a prudent collector/dealer buys the set; Keeps the pieces he/she wants and moves on.
Regards
Rich
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