Nope I object.Worthing and Arundel will always be an issue because of the Downs - nobody wants roads over them and it is too expensive to tunnel under.
I reckon that they should use the existing route from Shoreham to Fontwell - A283, B2139 & A29 - upgrading to a dual carriageway where needed and adding small bypasses to Storrington, Amberley and Houghton. The cost of that would be much lower and less of an impact on the Downs.
That'll make it all but impossible to cycle west to east in any part of West Sussex.