Hello,
There are at least 3 types of point-to-point LSPs:
(1) Dynamic, FECs signaled from downstream with LDP or labeled-unicast BGP.
---> In this case, transit LSR label assignment can differ e.g. based on whether you have deaggregate configured under LDP or not.
(2) Dynamic, signaled with RSVP from Ingress PE, hierarchy [edit protocols mpls label-switched-path]
---> LSR assigns a different label for each LSP.
(3) Static, no protocol, configured with [edit protocols static-label-switched-path]
---> The administrator should configured different labels for each LSR.
HTH
Ato