the coagulating ink as you describe it is pigment ink a thicker ink its properties are to last much longer
on a black and white document for example it is more difficult to clean and can cause head clogging more often
than the thinner dyes ,if longevity is not a problem I have used black dye in its place,but never put pigment ink
in a cart meant for dye the nozzles are much smaller and the the thicker pigment will clog it.
I have also used HP pigment black in a Lexmark cart and visa versa,some Hp black carts are of the dye type
and you would need to work out which it is.
As far as know only some of the higher end Epson printers that use ultachrome inks are pigment colour as
well as their black and while pigment ink is supposed to last 100 years as opposed to 25 for dyes
pigment is not as vibrant as dye inks
but note archivalness very much depends on paper used and whether it's behind glass or not and must
be away from direct sunlight(nothing survives direct sunlight).