What does this fall under, when power starts at the feet, goes up the legs to the wast up the back through the shoulder and arm and out the fist, all parts adding to the power, EXTERNAL or INTERNAL?
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You are talking about a transmission of power, but not actuall generation of power by the torso through the expansion/contraction accordion like motion, so it is an external method. Also, since power *Starts* at the feet and moves up, that is external as well. In an internal method, power does not stat anywhere. ALL parts generate power simultaneously body wide, with the majority being produced by the expansion/contraction of the torso. Since your description did not include this it is external.
Uechi Ryu, done well, has exactly that torso quality to it (being derived from southern mantis / dragon / bok mei / whatever) - but wait a bit: that's crotty, which can't possibly be considered internal...
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Then it is an internal art same as South Mantis and Dragon is. Although those arts have a lot of tension, so they would be considered Hard internal arts compared to Taiji which would be a soft internal art.
Baiji is also an internal art too.
Internal has all the elements of external motion, with added core body power generation from the unique expansion/contraction action (often referred to as Coiling) that is NOT found in an external motion.
It is similar to an accordion expanding and contracting. You can see it best by watching the spine of the practitioner. You will visibly see it lengthen, or compress and shorten in a manor that sort of looks like hunching forward during the power issuing motion. Internal issues power during the expansion stroke as well.