SAS an Infantry Regiment?

'Jim Sweeny' has made a number of revisions claiming that the SAS is an Infantry Regiment and that 21, 22 and 23 are Battalions! Below is an extract from Queen's Regulations:

Queens Regulations for the Army

PART 1 - PRECEDENCE
Precedence of Corps and Regiments
8.001. The following table gives the order of precedence of corps and regiments in the Army. Regiments shown collectively therein take precedence amongst themselves as shown in the Army List.
Order Corps or regiment
1 The Life Guards and The Blues and Royals.
2 Royal Horse Artillery (a).
3 Royal Armoured Corps.
4 Royal Regiment of Artillery (Royal Horse Artillery excepted).
5 Corps of Royal Engineers.
6 Royal Corps of Signals.
7 Regiments of Foot Guards.
8 Regiments of Infantry (b), (c).
9 Special Air Service Regiment.
10 Army Air Corps.
11 Royal Army Chaplains' Department.
12 The Royal Logistic Corps.
13 Royal Army Medical Corps.
14 Corps of Royal Electrical and Mechanical Engineers.
15 Adjutant General's Corps.
16 Royal Army Veterinary Corps.
17 Small Arms School Corps.
18 Royal Army Dental Corps.
19 Intelligence Corps.
20 Army Physical Training Corps.
21 General Service Corps.
22 Queen Alexandra's Royal Army Nursing Corps.
23 Corps of Army Music.
24 Royal Monmouthshire Royal Engineers (Militia).
25 The Honourable Artillery Company.
26 Territorial Army (d)
27 The Royal Gibraltar Regiment