The FOV type does not matter as the correct actual and config FOV will be calculated based on your selection. The idea behind changing FOV Type is so you can easily convert from one type to another. In you case you should enter 103 for Apex so it's identical to Overwatch, and the output will show you what you need to configure to get this FOV.
The calculation says 1.272159 because this is the default value and you haven't changed it. If you change from 105.34 to 103 in the calculator you should get the correct value.
In-game is showing the wrong values, so just ignore that.
This is the default value automatically loaded when you select the game/aim. Change it to 103 in the calculator, and see the Config FOV line for what you need to configure