In one embodiment, a Segment Routing network node provides efficiencies in processing and communicating Internet Protocol packets in a network. This Segment Routing node typically advertises (e.g., using Border Gateway Protocol) its Segment Routing processing capabilities, such as Penultimate Segment Pop (PSP) and/or Ultimate Segment Pop (USP) of a Segment Routing Header (including in the context of a packet that has multiple Segment Routing Headers). Subsequently, an Internet Protocol Segment Routing packet having multiple Segment Routing Headers is received. The packet is processed according to a Segment Routing function, with is processing including removing a first one of the Segment Routing Headers and forwarding the resultant Segment Routing packet. The value of the Segments Left field in the first Segment Routing Header identifies to perform PSP when the value is one, to perform USP when the value is zero, or to perform other processing.