I'm no expert and I'm three years late but, an a minor sus 2 would mean that it is an a minor with a suspended second. Yes I understand technically a suspended chord shouldn't have a third, however were in the age if modern music where new things are always being accepted and things are being changed... Here's how you would play an a minor sus 2...
e--0
B--0
G--5
D--7
A--7
E--5
Or
e--0
B--0
G--5
D--2
A--0
E--x
An A sus 2/4 can function as a sus of a Major or Minor form, as it literally replaces the 3rd. Since the 3rd is the only interval that determines the major-ness or minor-ness of any chord, its elimination makes the chord type ambiguous.
In my opinion, calling something A Minor sus 2 is moot, since an A sus 2 is the same thing. Sus are neither major nor minor.
With respect to your chords, John, you showed an Am add 9 Your example has a C which IS the b3rd of Am. Neither of these are suspended. An add 9 adds the 9th to a triad, and in these examples the Am Triad is fully present.
Best,
Sean
Guitar Instructor/Mentor
Online Guitar School for Advanced Players
http://rnbacademy.com