An Enclosed Structurally Unrelated Clause

Mr Minter, 'Call me Ted', was  a large, untidy, perpetually smiling man with the look of an astute rabbit.

— John Mortimer Rumpole And The Asylum Seekers

One way to analyse the enclosed clause as structurally related is to take the view from below. Because it is realised as its own tone group (TONALITY) and realised by tone concord with what precedes (TONE), the enclosed clause is realised as if it were in non-defining elaborating relationship with the surrounding clause. Such an interpretation, though, requires treating the clause that projected it as ellipsed.

Prepositional Phrase As Nominal Group Post-Deictic

cf.

In The Absence Of Isochronicity Or Synchrony

This question was asked by Jim Martin on the asflanet discussion list. Strangely, he received no replies. Halliday & Matthiessen (1999: 272): 

So the more the extent of grammatical metaphor in a text, the more that text is loaded against the learner, and against anyone who is an outsider to the register in question. It becomes elitist discourse, in which the function of constructing knowledge goes together with the function of restricting access to that knowledge, making it impenetrable to all except those who have the means of admission to the inside, or the select group of those who are already there. It is this other potential that grammatical metaphor has, for making meaning that is obscure, arcane and exclusive, that makes it ideal as a mode of discourse for establishing and maintaining status, prestige and hierarchy …

As Naked And Blatant As A Pig In A Cathedral

Matter Realised By A Discontinuous Minor Process?

concerning	participant identification
minor Process	Range

as concerns	participant identification
minor Process	Range

                      

as far as concerns	participant identification
minor Process	Range

as far as	participant identification	is concerned
minor	Range	Process

This last formulaic expression, unlike a clause, cannot be expanded with further transitivity functions.  Like a prepositional phrase, only the element functioning as Range or minor Process can be expanded.

The form is that of the 'respective' conjunctive Adjunct: as far as that's concerned (Halliday & Matthiessen 2014: 108).

Non-Spatiotemporal 'Between'

they	drank	all the wine	between them
Actor	Process	Goal	Accompaniment

the contest	is	between British and Iraqi lawn bowlers
Carrier	Process	Attribute: circumstantial: accompaniment

Halliday & Matthiessen (2014: 324):

Accompaniment is a form of joint participation in the process and represents the meanings ‘and’, ‘or’, ‘not’ as circumstantials;