Having your "own" logic sounds like Ti to my understanding. I have my "own" systems that I can understand, it isn't as if I live my life never being able to find things.
Te is about external logic, placing a set of objective criteria for all to see, building processes and "bullet points" which everyone can follow.
A Ti and Te approach can both seem roganized if the person is left to their own devices. The, the main difference you will see is in "tidyness", but both can be efficient, and the Ti user can be as "organized" int heir own way as the Te user.
The difference is very noticeable in the workplace. Te seeks to set in place processes for everyone to follow, and has a set of logic which everyone can clearly see and understand. Ti does not, other people won't straight away understand your system (though the results may be effective).
Another question: what is your attitude to deadlines?