Thanks to all for the feedback. I believe I'll start simple and just throw the sugar into the boil and adjust to more complex methods of warranted,.
Source? My research so far has suggested that the combination of inversion and heating does indeed produce caramelisation. No maillard ist correct, since that needs proteins (amino acids). But caramelisation definitely takes place, since Fructose caramelises at 110°C and we create Fructose by the inversion.
If you look at the 1896 paper about invert sugar you'll find that they intensely filter the sugar before the process and during it. My understanding is that they are actually using white sugar for their process and it is only the boil time that creates the colour. Mixing with Molasses is done nowadays, by Ragus for example, but it does not need to mean it was always done like that.
If on the other hand you want a quick invert no 3 and have turbinado at hand, you do not need to bother with inverting first, since adding it at the last 10 min of the boil will cause inversion, since wort is a sour medium.