In sidemount, there are two schools of how to setup the regulators:
(A) long hose + short hose backup with bungee necklace, see for example
(B) two hoses of same length and no bungee, see for example
The method "always donate primary" works only with (B), whereas with (A) you always donate the long hose reg, which is in your mouth with 50% probability, and clipped away with 50% probability. So it's an open debate which one is more important to DIR philosophy: "always donate primary" or "long hose + short hose bungeed necklace". Can't have both in sidemount.
Seems your instructor favors (B) as he removed the necklace. But did he also tell you to use a longer hose on that one so that you can donate it, and show how to change your regulator boltsnaps so that you can use the clipped away regulator as a backup?