Lineage in Tantra never means familial, it always means energetic - attunements and strong connects passed on from a teacher to a student. It is also a morphic field. When you access it through say an attunement - called Diksha and transmitted through Shaktipat - you gain access to that morphic field which has energetic connections and efforts of a whole line of teachers that adds on to once own effort. Familial lineages, may matter, may not - for the most part, they don’t seem to do much because rarely do families preserve knowledge and practice - at least in the current times. I think this is where folks like Dream and Dale have revolutionized things and made such “fields” more accessible to people than they ever were (at least in our timeline).
It is the same thing that transforms to water, ice, steam. Same carbon is diamond and various other things. Same electricity can be used to light, heat or shock and kill. Similarly are these goddesses same at the level of non-duality - absolutely! In the plane of material transaction are they different? - yes they certainly are!
I sent you the details in a PM.
Mantras - at least some of them - are ancient, “revealed” and have phonetic significance. Chalisa was a medieval hymn, composed by a saint who seemed to have a strong connection with Hanuman. While it may not be a true mantra, as @_OM explained on another thread, hymns/sacred objects may actually emanate power due to the faith placed by millions in it (and India has a massive population!). Take the case of Tibetan Lamas - they get a great deal of success with Mantras, which are all in Sanskrit - and Tibetans have a very short alphabet set which leads them to not being able to pronounce most of the Sanskrit mantras - but they still get them to work! Same with Chinese Buddhists. So yeah, there are a lot of factors to consider - nothing is black and white …
That will immediately derail this thread!