I can see where they are coming from on this, and they offer headspans as an alternative design which, I agree, would be less visually intrusive.
I do wonder if Network rail has been unduly hasty in ruling out headspans as the Germans seem to make them work.
Network Rail was correct to move to independent registration for each running line with their OLE specifications. We've been over this repeatedly, but a dewirement on one track results in that track being closed with mechanically independent registration. The use of interdependent registration results in all four tracks being closed to electric traction in the event of a dewirement, and the repair of headspans is messy, time consuming and complicated - that would be why the last ECML dewirement took 2 days to repair and why passengers were delayed by tens of thousands of minutes.
It's all a moot point - there isn't a headspan which can work with the new OLE system anyway, Rainhill is essentially a Mk.3b system with a couple of reliability modifications, everything else around it is Series 2 OLE. Series 1 has no headspan design at all, to fit headspans on the GWML, we would have to revert at this stage to an ECML Mk.3b system. That means no 140mph running with two pantographs, and no 110mph/125mph running with three or four pantographs.
The OLE is specifically designed for 140mph operation with multiple pantographs, from the foundation and mast up and outwards, it's designed around 16.5kN tension, as a result it's fitted with 120mm2 cross section contact wire, it weighs more and together with the increased tension, it cannot be accommodated on the Mk.3b OLE system - it can't do 16.5kN tension because it can't support 120mm2 cross section contact wire.
Headspans do have their very limited uses - they're acceptable on lower speed lines (though not welcome) and they're fine for depots, where you don't want masts in between each reception road for drivers to be walking into in the dark. Rainhill is the sort of place where a headspan is begrudgingly acceptable - 125/140mph four track railway is not.