Silly question, but are you tied to the bank for the later house construction if, for example, I finance the plot through Sparkasse?
Yes, because the bank that finances the plot holds the primary mortgage on the land register. And they will not want to give that up before everything has been repaid. So you are bound to this bank. Because in case of termination, you would basically still have to pay the hypothetical interest over the planned term.
One possible option would be to fix the loan for the land only for 2 or 3 years. Then you have leverage in negotiations with the bank: you could transfer the land charge to another bank upon expiry and finance the remaining amount for land plus house construction with that bank. So there would be potential competition.
Theoretically, however, the interest rate level could rise more or less strongly by then, meaning a refinancing would cost you more than financing the land for 20 or more years right away. Ultimately, this is also a risk assessment. Personally, in both cases, I would prefer a house bank that has known you for years instead of chasing the last fraction of interest. And initially only finance the planned lead time until the start of construction plus a max of one year for the land. Trust is good, having control is better.