Rounding of floating point in text dumps?

A question came up on the Slony-I list (quite a while ago, but that's
another story!) as to the handling of floating point values.

The user is concerned about whether FP values are faithfully
replicated.  I commented that the issue will be identical to that of
the handling of data in pg_dump; if Slony-I creates differences by
rounding things, so also would pg_dump.

In the interests of personal laziness ;-), I'll throw the question to
this list: how may we expect the imprecisions of FP affect text-based
database dumps, if at all?
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Rules of the Evil Overlord  #220. "Whatever my one vulnerability is, I
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from the palace, screaming and flinching whenever someone accidentally
holds up a mirror, etc. In the climax when the hero whips out a mirror
and thrusts it at my face,  my reaction will be ``Hmm...I think I need
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