We have now drawn a little ourselves, it just wouldn’t let us be. We are not completely satisfied with it either, but at least it seems to come a bit closer to our ideas. The living-dining-cooking area is still somewhat too small, unfortunately the cloakroom is no longer in a niche. We actually quite like the upper floor. [...] We know the dimensions are not 100% correct, would remove 30 cm on the side of the children's rooms at the top and add something at the bottom
To create a counter-design I think is good. However, I would not try to develop it further but only use it for a short series of very specific purposes:
A. Representation of the delta between the architect's design and your needs/wishes; B. as a comparative benchmark / pattern for the search for suitable proven building proposals / catalog houses; C. for an orientation inquiry (> "setting the course"), I can gladly create such an inquiry for you from the architect's design, your counter-design, and a comparison of the two. Your counter-design takes up half a meter more house length than the architect’s, additionally you “calculated” with symbolic paper walls, so at least another half meter more in the total length needs to be corrected (crossed out). And I tend to assume you started with the ground floor.
I will also continue to report on what comes out of the hopefully taking place conversation with the architect.
Why should such a conversation “hopefully take place”? – You are clients! (a client pays and commissions, that is a fundamental difference from a petitioner). Make clear to yourselves what you want and communicate it: EITHER improvements, i.e. the architect should maintain his fee claim but also deliver an acceptable equivalent OR you agree on acknowledgement of the failed attempt, part ways in peace and settle on reasonable remuneration for the (in my opinion poor) work delivered. After all, you now have to invest money in another planning route.
The option “hope and be surprised” only exists with the willingness to switch from the client role into the victim role!
In my assessment, either the architect is aware that he tried to cash in quickly with minimal effort and gratefully takes the golden bridge to discreet withdrawal or he lacks insight into his poor performance, in which case he is all the more the worst choice for a second chance.
I see you most likely taking the further path with an independent building consultant (construction method neutral, this can be another architect—but then probably HOAI-oriented remunerated—or gladly me), I have already named three of my colleagues (Beuler, Zink, and Freyermuth, unfortunately all focused on “finished” houses) several times (see forum search), and this “enumeration” is by far not exhaustive.