I am a little unclear about typical half-lives of reactor...

I am a little unclear about typical half-lives of reactor waste.
The following is an excerpt from URANIUM INFORMATION CENTRE Ltd:
http://www.uic.com.au
Is this just spin, talking about "Forty years after removal from the reactor less than one thousandth of its initial radioactivity remains" and "After being buried for about 1,000 years most of the radioactivity will have decayed" ??

EXCERPT:
Waste disposal
Final disposal of high-level waste is
delayed to allow its radioactivity to decay.
Forty years after removal from the reactor
less than one thousandth of its initial
radioactivity remains, and it is much
easier to handle. Hence canisters of
vitrified waste, or spent fuel assemblies,
are stored under water in special ponds,
or in dry concrete structures or casks for
at least this length of time.
The ultimate disposal of vitrified wastes,
or of spent fuel assemblies without
reprocessing, requires their isolation
from the environment for long periods.
The most favoured method is burial in
dry, stable geological formations some
500 metres deep. Several countries are
investigating sites that would be technically
and publicly acceptable. The USA is
pushing ahead with a repository site in
Nevada for all the nation’s spent fuel.
One purpose-built deep geological
repository for long-lived nuclear waste
is in operation in New Mexico, though
this only takes defence wastes.
After being buried for about 1,000
years most of the radioactivity will have
decayed. The amount of radioactivity
then remaining would be similar to that
of the naturally-occurring uranium ore
from which it originated, though it would
be more concentrated.