Hi Mike,
Don't let these numbers confuse you. They have little reality to the
real resolution of the printed page these days.
There are MANY variables that determine the quality and resolution of a
print. For instance, how much dot gain is there from the ink paper
combination? How accurately can the head place the ink dots? How many
dots are required to create a color other than the actual ink colors
(how large a matrix is used)? When the image is rasterized in software,
what resolution is actually used?
The numbers you are seeing usually indicate the number of locations
where the head can place a dot, but that doesn't mean it can or will.
In fact, if the heads actually placed 5796 dots per inch, they would be
covering one another, because they are too large to all fit.
Also, realize that the way these positions are created is usually
through overprinting on a second, third, forth or more pass of the head.
As an example, Epson printer drivers raster the image in 360 or 720dpi
for the large carriage models and 720 or 1400 dpi for their desktop
models. You can use higher resolution, but the actual image is not
refined to that level.
So, what's my advice? Try to get print samples of your own image on the
paper type (glossy, matte, etc) you prefer and do an A:B comparison,
using similar resolutions. If you cannot do that, at least try to get
similar sample types between the brands you are considering.
Use your eyes over the specs. The places where specs (if accurate) may
be helpful are: print speed, permanence of ink, yield of cartridge and
cost of cartridge, variety of inks or papers available. Try not to get
too bent out of shape by the resolution spec numbers, as they are easily
hyped up.