Must enter into the A/D record all curios and relics acquired after receipt of the collector's license.
The question comes in when you ask if a gun that can be acquired as a curios and relic HAS to be acquired as a curios and relic. Look at the wording from the C&R list (top of section II):
"Such determination merely classifies the firearms as curios or relics and thereby authorizes licensed collectors to acquire, hold, or dispose of them as curios or relics subject to the provisions of 18 U.S.C. Chapter 44 and the regulations in 27 CFR Part 178. They are still "firearms" as defined in 18 U.S.C. Chapter 44."
You see this wording "as curios and relics" scattered throughout 18 USC 44. Such as the definition of a collector, "The term 'collector' means any person who acquires, holds, or disposes of firearms as curios or relics". That wording clearly implies that you can also possess these guns not as curios and relics. Thus the previous answer from the ATF, "you only record guns acquired with your license," and the above statement from the ATF "all curios and relics must be recorded," are not in conflict.