Roof drainage into the gutter or over a drip edge

Doesn't anyone have an opinion on the topic?

You are knowledgeable about everything.

I don't understand your problem. The underlay membrane is only there for emergencies in case roof tiles break or something similar. Normally, no drainage runs over it, only through the roof tiles. The drip edge at the end of the underlay membrane is correct and important (see emergency above). The photovoltaic hooks are on the rafters. For that, the roof tile below must be notched out. No water gets through there; the tiles overlap by about 15 cm.

I looked at a roof that had exactly this design. So the drainage of the underlay membrane discharges uncontrollably over a drip edge. Do you see the marks in the soil? (Picture) Maybe the roof tiles are simply not laid properly or the water "shoots" over the gutter. The latter would not be good.

Then I am worrying too much about the photovoltaic system. I wanted to hear that the tiles overlap by about 15 cm. Thanks, thanks! :)

Then only the condensation and sweating water as well as snow loads in winter would be a problem. In my opinion, however, all that is manageable.

So if anything, it can only be because the roof tiles overhang the gutter too much. Then it shoots beyond it. But that has nothing to do with [Traufblech] or [Unterspannbahn]. Attached is another photo of the overlap with Braas Harzer Pfanne.

So if anything, it can only be because the roof tiles extend too far over the gutter. Then the water shoots beyond it. But that has nothing to do with the drip edge or the underlay.
Attached again is a photo of the overlap on Braas Harzer Pfanne.

You also have underlay ventilation elements. :)

If a tile is damaged, it can also happen that water flows over the underlay to the drip edge and drips off uncontrollably. (Early warning system)

Why uncontrolled. The drip edge runs into the gutter. Just like in my first photo. You can see it quite well under the tile there.