Forgive me for using my first post for a correction of fact, but as a long-term user of Heavyhands (20+ years), I feel I need to point out that HH is explicitly not "running with weights in your hands". Carrying weights has been shown definitively to add little to the benefit of either running or walking. Rather, HH is (mainly) walking (sometimes using exaggerated gaits - e.g. knee 'dips' - to develop specific leg musculature) whilst simultaneously using the weighted hands to perform vigorous arm movements of wide range and variety. The aim, as described, is to achieve considerably higher and more sustainable continuous workloads than running, by distributing the load and effort over the whole body.
Since the initial inspiration was derived from cross-country skiers, I agree that there is direct relevance to the use of trekking poles for a similar distribution of effort. I've found, particularly in long and steepish ascents, that the upper body conditioning derived from HH transfers quite handily to poles in helping to achieve similarly comfortably distributed four-limbed propulsion. I hasten to add that the traditional two legs are also good (whatever Orwell may have implied to the contrary), but sometimes it's nice to have other choices available.