The system we use can be asked to find the Min Time Track, which willl factor in winds to find the shortest time (and lowest fuel burn in theory.. though i've beat the machine regularly). AN
example, this time of year, we send the flights SEA
up over southerns alaska the southwest parallel to the Kamchatka peninsula. Thats generally the quickest route (withouth overlfying Russia). The return flight , stays well south over the north pacific and gets a nice push from the jets. The distance is longer but its faster than doing the circle routing.
SImilar conditions are in place over the Atlantic. There are the tracks published daily for both u can use (or not) and they are generally the favorable routing, though sometimes you can shave tme not usuaing the tracks occasionally, mostly westbound.