Does experience with Keras count as experience with Tensorflow?
Currently, Keras is part of Tensorflow, so if you are using the Keras that comes bundled with Tensorflow (tf.keras), technically one is a subset of the other. This was not always like that (see this), so if you are using the old version of Keras that is a separate package, then technically it hides the complexity of Tensorflow, so your experience would be only Keras.
About tutorials not using the Keras API (I understand that you are referring to using model.compile, model.fit, etc), you should understand that tutorials are normally introductory material, which makes using only Keras a sensible decision, avoiding the rougher Tensorflow reality (static graph vs. eager execution, sessions, etc). Bare Tensorflow (no model.fit) is used all over the place for real-world use.
Anyway, in the end, it is up to employers to decide whether your experience fits their needs.