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Switching prop material or brand/model of props changes everything.

You most likely cannot use the same pitch if you change the material of prop or the brand/model of prop.

At this point, you have no idea if you have the correct pitch prop or not as you have not tested it at WOT.

1. Choose a material, brand and model of prop.
Try a different pitch prop to get your WOT in the motor manufacturers range.
Once you get this within the range, then you are set to go.

2. If you change material, brand and or model of prop, then you have to start all over again choosing a different pitch as most all prop brands and models deliver a different configuration in prop design.

In other words, a 15 pitch prop is not the same across the board.
They are all different.
It also preforms different for other boats and must be tested on your boat/motor combination.

Also, forget about diameter. That is up to the engineers.
When we try a certain brand/model of prop, we try different pitches.
We take whatever the diameter is determined by the engineer.
Example: 13p, 15p, 17p, etc.. We have no choice in the diameter generally. We get what they give us as determined by the pitch.

So, if you change material or brand/model of prop, a 15 pitch will not be the same as the other 15 pitch you have now.