Yes, I believe I understand your point.  The emotions tied up in every second can sometimes
make it feel like one has aged a million years in the time span of a few hours.  However, with boredom, it is the anticipation
which causes the seconds to drag on.  Also,
your comment about how we would “have to wait for the rest of the world to
catch up” reminded me of pigeons.  If you
were to show a Disney cartoon to a pigeon, instead of seeing a finely drawn
dance sequence between Snow White and the Seven Dwarfs, the pigeon would see a series
of images.  This is due to the way
animated movies are produced: as a series of drawn images that are flashed at
around 24 frames per second.  This rate
can easily convince us that we are seeing a moving picture, but pigeons have a better
visual temporal resolution.  The pigeon sees
everything slowed down.  As a small,
helpless (adorable) bird, this is a good thing, as it allows them to avoid
predation.  Recently, a group of researchers
conducted a study to determine if small organisms with fast metabolisms,
processed and integrated visual information faster (Healy et al., 2013).  To do this, the researchers flashed a light and
determined at what frequency the organism perceived the light as not flashing,
but as a constant stream of light (the authors refer to this as the “critical
flicker fusion frequency” or CFF for short). 
The researchers observed that body mass was inversely correlated to the
CFF while the metabolic rate was positively correlated.  That is, small organisms with high metabolic
rates had the larger CFFs.  According to
Table 1 of the journal article, humans can reach a max frequency of 60 flashes
per second before they just see a constant stream of light while the rock
pigeon (Columba livia, a.k.a your
common street pigeon) maxes out at a frequency around 100 flashes per second.