Your question was about network cabling in a house. Residential/home networking is explicitly off-topic for Network Engineering, and you were correctly pointed to Super User, where home networking, including cabling in a house are on-topic. Even the picture in your question is a picture of a residential cable panel (the displayed terminations cannot handle Category-6 or above cabling because it spreads the twists out far too much). Also, you cannot mix cabling categories, as you seem to want, and expect anything to work correctly.
You also seem to be taken in with cable vendor nonsense about Category-6e, for which there really is no standard. There is a lot of crap cable and parts sold because if you label something for a category for which there are no standards, you do not need to actually meet any standards. The cabling could be junk, and there is no standard to which you can test it.
All this points to a DIY home networking project. There is really far too much wrong with what you have and what you are doing to be considered a professional network, and you really need go get a certified cable installer to help you with your project. The necessary test equipment is quite expensive (thousands of dollars for the tester than can test Category-6 and above cabling), and a certified installer will have that, use it, and provide you with a report for each cable run, repairing any out of specification cable run. It requires much more than simple electrical connectivity for modern networking speeds. See this answer for the minimum required tests (the specifications for passing a category test suite will vary by cable category).
I understand that many people are working from home in these times, and they want NE to help with that, but the place to ask about that is on Super User, where you probably would have had some answers that would satisfy you by now, rather than spending your time arguing about home networking.