was thinking more about not distinguishing between different concept. Another example being the, in my opinion, awful way differential geometry is used in physics.
Like, I absolutely understand not wanting to go through the trouble of formally defining manifolds, charts, tangent spaces and so on, but is it that hard to introduce the intuition associated to those geometric objects and define tensor fields and such accordingly, rather than just saying "tensors are `things` that behave in such and such when coordinates transform"?