You can make a lot of ideas make logical sense if you create the correct framing, which you did in your post. However, your frame excludes the discrepancy between single males, who could vote, and single females, who could not vote; we can recurse, and say that single females could barely exist in the middle-class world due to social and economic norms which prevented women from getting jobs above starvation wages, and even look further into the concept of coverture, whereby marriage was a union of baron and feme in which the feme (wife) was legally subsumed into the baron (husband) and ceased to have an existence outside the home after being wed.
If all of those things are outside the frame, sure, one-vote-per-household can be made to make sense. However, don't expect others to agree to your restrictive agenda-driven narratives.