Hello!
First, you need to be clear about what you want! Long security = long fixed interest period. Small annuity = low repayment rate, etc.
Given the interest rate level, I recommend a long fixed interest period, a higher repayment rate (at least 2%), and special repayment rights.
Who did you ask? The house bank? That should generally be more expensive. I would ask brokers and also an internet bank. Too many offers is not so great either.
So with the first two paragraphs, I can only agree with you.
But I see a request for construction financing with an internet bank critically for my part. Internet banks (as the name suggests) have no direct people on site, and if something does not fit or unexpected problems arise, it is difficult to get someone face-to-face there.
From experience, you are much better off with banks that are located locally (but it also depends a lot on the consultant in charge). The interest rates may be higher than those of internet banks, but I ask myself: Do I want to pay a little more money and in return have arising problems solved and quickly have someone at hand if something happens; or do I want the lowest interest rate and hope that everything goes well and that I do not have to refinance, suspend repayments, or similar again.
Moreover, the differences, depending on the local bank, compared to internet providers are sometimes really marginal.
In addition, local banks do not let customers suffer so much when major difficulties actually arise. On the one hand, this damages their reputation, which can be a death sentence for regional banks. On the other hand, a loss from a home loan weighs heavier for smaller banks than for large internet banks, which is why the customer is viewed quite differently here.