The Lemania movement in the Speedmaster is a solid design but it's no more likely to run without service than any other competent movement. Or, put another way, if it's run without service long enough, it will suffer the same wear patterns as any other competent movement. The movement itself is the Omega 1861, aka Lemania 1872 or something like that. It's the hand-wind base movement for the automatic Omega 1040/Lemania 1340 which is the base movement for a range of downstream movements used by many brands, including the Ebel 137, the Ulysse Nardin 150, and the Breguet 582 (allowing for variants in these cases--Ebel used its own bidirectional winding design, UN replaced the balance cock with a full balance bridge, and Breguet added a flyback capability in addition to using Ebel's winding design).
My mid-90's Heuer Carrera 1962 Re-Edition uses the same handwind Lemania movement as the Speedmaster (albeit the Speedmaster you pictured shows nicer hand-finishing):
The jewels, pins, gear wheels, pallets, and springs are the same as any other good movement, and no less subject to wear.
Rick "get it serviced" Denney