Larry Dighera writes:

OK. Does that apply to lateral navigation as well? Nobody seems to
object when I let the FMC follow the lateral course as filed (at least
during the en route phase of the flight).

Please consider doing your own research:

http://www.faa.gov/ATpubs/PCG/
RESUME OWN NAVIGATION- Used by ATC to advise a pilot to resume
his/her own navigational responsibility. It is issued after
completion of a radar vector or when radar contact is lost while
the aircraft is being radar vectored.

I don't see an answer to my question in that paragraph.

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