I also cannot understand the considerations of MIA_SAN_MIA.
@ Basel:
The effect you describe regarding the repayment is completely correct.
It only works if the interest rate until the repayment is much lower than that of the annuity loan and the interest rate of the home savings loan is also favorable.
Of course, costs such as closing fees etc. must also be taken into account.
A direct comparison also only works with a full repayment loan.
Since this apparently was not the case with the offers you had, you made the right decision!
I am only allergic to the frequently encountered tendency to claim that one option is generally cheaper than the other.
However, I want to admit that the home savings variant requires a higher level of information and knowledge from the customer than the annuity loan, and of course there are many cases where the annuity loan would have been cheaper.
Furthermore, it is naturally also a matter of personal taste.
One must understand the financing and feel comfortable with it.