This is a long standing misuse of MIL-STD-130.
MIL-STD-130 is a design standard, not a methods standard, that tells the creator of the item documentation the requirements for suitable marking. It does not detail suitable marking methods, though it does have some suggestions for commonly used methods. It should be referred to in contracts, not on the face of a drawing, except as "To comply with the requirements of MIL-STD-130, the following identification markings shall be applied to the part..."
From 4.2:
"All aspects of item identification marking shall be specified directly or by reference on the document delineating the item to be marked."
"Bag-and-tag" does not count as "all aspects."
In the latest version I have, '130N, the word 'bag' appears only once, in conjunction with vacuum bagging composites. All the 'tags' are in reference to permanently attached plastic or metal tags, not paper ones with wire twists.
In 4.1:
b. When items cannot be physically marked or tagged due to a lack of marking space or because marking or tagging would have a deleterious effect, the detailed marking requirements specified in section 5 shall be:
(1) applied to a supplemental container that may or may not provide item protection, becomes a part of the individual item, and is provisioned and managed as a component of that item, or
(2) applied to the unit pack in addition to, or in combination with, the identification marking information specified in MIL-STD-129. When combining marking requirements with MIL-STD-129, the manner, method, form, and format of MIL-STD-129 shall be followed and the informational requirements of this standard shall be fulfilled.