Detail #380: A New Spot For Alignment

I recently came across this, a post whose content I am not really going to comment (due to the feeling that I don't know enough about this particular topic.) However, it sparked an idea in my mind:

Why not make an alignment-like system with regards to symmetrical vs. reciprocal actions? Some verbs could imaginably only take one or the other type, and here we could get an interesting set of situations:

• verbs that are exclusively symmetrical
• verbs that are exclusively reciprocal
• verbs that can be either one or the other

Let's use s and r for arguments of exclusively s/r verbs, and S and R for verbs that can take one or the other. The way any particular marking works may differ from the way others are marked: reciprocal pronouns with differential object marking distinguishing different meanings, verbal affixes, particles, auxiliaries, adverbs, etc.
Potential solutions:

Trivial bipartite:
s = S
r = R

Asymmetrical bipartite:
s = S = r
R

or

S
s = R = r

Unhelpful bipartite (unlikely)
s = r
S = R

Tripartite I
s = r
S
R

Tripartite II
s = S
r
R

or

r = R
s
S

Diagonal Tripartite (unlikely)
s = R
r
S

or

S = r
R
s

Unhelpful Tripartite (unlikely)
s
r
S = R

Quadripartite (unlikely)
s S
r R

One thing that feels realistic, though, is that for some verbs, you may also have occasional exceptions like so:

Exceptional Marking I

S' = R
R' = other way that coincides with some other thing in the language?

The ' there marks that these are exceptionally marked ones, and that the "R" on the right hand of the equals mark stands for the marking, not the meaning.