Offer for the surveying of a single-family house

I waited six months between order and execution for the surveying of the finished house.

So it "only" depends on the correct and complete representation in the cadastral map. Whether the building status lags behind reality by three months or half a year is far less significant than if someone has to wait for the staking out or the site plan for the building application.

It was and is 60cm - 70cm too low.

And, was there any damage? If yes, who paid for it?

Does the surveying also depend on the type of house?

Mainly on the production costs.

Could it therefore be that the offer is slightly higher because the effort is greater?

The fee and honorarium regulations allow some, but rather small leeway regarding the degree of difficulty. However, the biggest difficulty is the boundaries. In the old cadastre, the effort can be enormously high, so that the calculation bases are based on a mixed calculation to prevent someone with terrible cadastral documents from paying five times as much as someone in a new development area. In a new development area with coordinate cadastre, the three services are actually a piece of cake, assuming the necessary expensive equipment. Therefore, the price surprises me a bit, as a hardship allowance is very unlikely.
But as I said, I do not know the current market situation, nor do I know your construction project, the location, or the quality of the cadastre. And the 400€ really are just a rough gut estimate. Talk to two other providers and with the neighbors. Maybe these are actually the current prices.

It "only" depends on the correct and complete representation in the cadastral map. Whether the building stock lags three months or half a year behind reality is far less important than if someone has to wait for the staking out or the site plan for the building application.

And, was there any damage? If yes, who paid for it?

Mainly from the production costs.

Fee and honorarium regulations offer certain, but rather small leeway regarding the level of difficulty. The biggest difficulty, however, are the boundaries. In the old cadastre, the effort can be immense, so that the calculation bases are based on a mixed calculation so that someone with lousy cadastral documents does not pay five times what they would have to pay in the new development area. In a new development area with coordinate cadastre, the three services are actually child's play, assuming the necessary expensive equipment. Therefore, the price surprises me a bit, as an additional charge for difficulty is highly unlikely.
But as I said, I don't know the current market situation, nor do I know your construction project, the location, or the quality of the cadastre. And the 400€ is really just a rough estimate off the top of my head. Talk to two other providers and with the neighbors. Maybe these are indeed today's prices.

Of course there was. The builder had to finance an additional 16k€ for the landfill due to the extra excavation. There was no compensation.

We pay approximately €1500 including VAT for fine staking out and later surveying (for the [Katasteramt]). However, we have already paid the surveyor about €850 for the creation of the site and elevation plan for the building notification, house planning, etc.

The construction company (GU = shell builder) does the batter boards.

There was no compensation.

Why not?

Why not?

Why should they exist, after all it was still in accordance with the development plan.
Actually, he just "neglected" 60-70cm descending from the north towards the street on 642sqm.

Another neighbor also does not receive any compensation from the architect (the architect planned the house too close to the street, even though the house was still within the building line, so 15m steel sheet piles were necessary to secure the excavation), because he had to finance an unplanned additional €15k.

But feel free to share from your experience how a contractor can wriggle out of such a measurement error. (not meant provocatively - just curious)

Does the surveying also depend on the type of house? 400€ is not little. We are building without a basement, 2.5 floors, and have to fill up 1.5m to the street. Could it be that the offer is somewhat higher because the effort is greater? I am trying to find another surveyor in the area and will see what he says.

Honestly, I wouldn’t stress over 100-200€ more than usual. Sure, that is a nice bathroom fitting. Compared to other items you will screw up (whether planned or unplanned), that amount is really a drop in the bucket.