There was a recent post about passenger traffic to Troy, and former routes via Rotterdam Jct./ West Shore. Were there routes to the west via D&H to Binghamton, and DL&W or Erie west? I'm sure if it happened, it did not last. The Central is most direct.
Never any through passenger service that I'm aware of, unless maybe it happened for two weeks in the 1920s or something. The B&M wasn't really a major Boston-to-Midwest passenger carrier, since it couldn't compete with the much faster direct service offered by the B&A and NYC. The through sleepers from Boston to NYC connections via Troy were about it.
B&M passengers who did want to get to the D&H could ride between Troy and Albany Union Station on the NYC, or take a local streetcar.
Through freight service did exist via Mechanicville, notably the Boston-Chicago piggyback service offered by the B&M-D&H-EL in the late 1960s that pooled power from all three lines.