It's a pibroch, there is a hell of a lot more to it than that (it is also way older).

Look at the Piobaireachd Society books, or the Kilberry Book of Ceol Mor. There is a version on the web in BGP format (horrible to figure out without the program).

Here is a modern copy of the bare tune in a pipe setting. Not that the {ged} gracenote groups can't be represented properly in ABC - the e is as long as a melody note, so the bars aren't of even length.

X:2
T:Cogadh no Sith
S:Seaforth Highlanders book
M:C
L:1/8
Q:1/4=30
K:Hp
{ged}c>{GdGe}c    {g}B{GdGe}B {g}A>{GdGe}A {g}e{g}A |\
{g} B/{Gdc}d{e}d/ {g}c{GdGe}c {g}B{GdGe}B {ged}d{e}G|]

I'm not sure I can see any resemblance between these two tunes.