Making a clean hole through a door frame takes a few minutes at most, with an electric drill machine, after which you pass the cable through the hole, you crimp the connector on the end of the cable and you are done.

At least in Europe where I live, I have not seen any walls through which you can make clean holes with high probability. Almost always there is some small damage, which must be repaired, e.g. by filling with plaster and/or repainting. In most cases you also need a percussion drill machine, not just a simple drill machine. Here most walls are made either of concrete or of bricks.

So at least in the kinds of walls that I have seen, passing a cable through a wall requires more time, more diverse skills and a larger set of tools and materials than passing a cable through a door frame, which requires only that you have and know how to handle a drill machine and a cable crimping tool.