I fully agree with this, that Rational Extraverted Logic attitude is basically equivalent with measuring and hard support for the facts. However, I was debating what Te essentialy is, and I find cherry picking in that reasoning all over the place...
Just for the record, I know this is not necessarily your view, though things are a bit mixed-up in your explanation: Te Accepting is not the same thing with Te Producing, meaning Te/j is different in attitude from Te/p. There is no need of this universal application and necessary conclusions of the Te in Irrational types.
Te as an IE is not the same thing with Te as function or in Ego.
While I know for a fact that Te Irrationals make use of probably as much measuring as - if not even more precise than - their Rational counterparts, I don't think the whole field of measuring is an inherent part of Te. In fact I don't think the applicability of any function is dependent of a constructed system of scaling. In my view Te could have been used in the Stone Age with no problem.
