In the context of CsC, the label information learnt from the customer (vrf interface) is not shared with the LDP information in the SP core. It is rather an extension to the label information advertised via m-bgp (address family VPNv4).
If you do a "show mpls forwarding vrf " you can see for prefixes learnt from local customer the outgoing label is the one received via LDP and the local label is the one advertised via m-bgp.
Let me know if I answered your question,
Harold Ritter
Sr Technical Leader
CCIE 4168 (R&S, SP)
harold@cisco.com
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