Oh no! You have the magic function Ssplit with selection of one(s) face(s) (your image above)
Of course make a shortcut for a speedy race ;)
mine are P = SsPlit, E = Extrude, K = Subdivide, S = Sscale , B = Bridge
With only that you can make miracles! :) (I can't memorize more! :)
Here only 2 faces in the same time!
Like here all faces are splitted in the same time!
But you must select one face first then all the rest with for example the rectangle selection!
By hands will be a nightmare : drawings lines, Triming, etc...
or only one edge for "SPlit" all the volume!
Here split edge one by one (very cool to make a right Click for recall the function after a new edge selection! ;)

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