Embedding Templates is simply to Copy the template into the Code Block Editor where in the location of the Editor Cursor. Currently CJT is not adding any Tags to the embedded templates, its simply geta Template copy.
If the embedded Templates is then updated later it doesn’t reflect that update to the Code Block as its already copied. If reflecting update is required Linking Template then would be used instead of embedding.
Template can be embedded to the same Code Block Multiple time, CJT is not confirming that. Its up to Block Author to handle em,bedding Templates unlike Linking Templates is linked to the Block only once and managed by the CJT internal Queue.