First of all, let me assure you that I am not miffed at all. I am just confused, quite often. It takes quite some energy to find out what you are talking about.
In this case, I have not idea what the second picture with the wrapper would to in the setup. I believe it is for the opposite direction.
I found two signal diagrams on the net, from SRS, but very tiny as always.
https://www.s-r-s.org.uk/html/lmsr/M756.gifshows Basford Hall Junction with semaphores. In the middle at the right-hand side, we see two signals that match your description.
So Crewe Basford Hall Jct Home is shown in your third picture. It needs no configuration. You can have $~15 if you like. That is a separate topic.
You do need the - for the inner links, of course. But you do not need any route character for link 1 or 2.
Crewe Sorting Siding South Starter is shown in your first image.
Unfortunately
https://www.s-r-s.org.uk/html/lmsr/M923.gif shows CLS era, after rationalisation.
At any rate, there are some sidings on the top left in the diagram. Or rather another route. The crossover seems to be labelled x or so with a note "electrically released by ...".
I am sure that the smaller, lower stop arm on the right-hand doll, reads to this route.
In your image, there is no third route away from the signal. There is just the Up Fast and Up Slow to Basford Hall Junction.
So you need extra trackwork to give this arm a purpose. Then you do not need to configure anything at that signal either.
I believe that the distant at Crewe Sorting Siding South Starter will not clear when the route at Crewe Basford Hall Jct Home is set to cross ever to the left.
Regarding the naming of arms, do as you like. There is exactly one thing that is important: Avoiding mistakes.
Therefore, any scheme that sounds logically to you is a good scheme.
Since you use so many different signal parts, you will not alter everything to one scheme. You will most likely be glad enough to have different groups in your collection where you know which naming scheme is used in which group.