Nobody has confused it with Broad's 2013 dismissal... yet another misinterpretation by yourself.
The 2013 dismissal was used as an example to show that in neither instance did the umpire contravene the laws of the game. You keep bringing up this law 31.6 but the DRS Review system is patently clear:
Nowhere does it say, that the initial call by an umpire on the field has to be ruled as NOT OUT, otherwise every close catch in the outfield would be ruled NOT OUT by every umpire and this doesn't happen.
The 2 umpires concurred on the field that the catch was taken and then referred it at their discretion and the on field decision was proven to be correct as there was no evidence from the technology available to prove otherwise.
Show everybody an example of a catch taken in the outfield which the umpire rules as NOT OUT with no evidence of being grassed at any time??????
A fielding team may use the system to dispute a "not out" decision and a batting team may use it to dispute an "out" decision. The fielding team captain or the batsman/batswoman being dismissed invokes the challenge by signalling a "T" with the arms or arm and bat. Additionally, at their discretion, on-field umpires may request the Third Umpire reviews certain close calls such as line calls (to determine run outs, stumpings and no balls), boundary calls (to see if a batsman/batswoman hit a four or a six), or for close catch calls where neither umpire is sure if a catch was made. A challenge is only used in situations that did or could result in a dismissal: for example, to determine if the ball is a legal catch (making contact with the batsman/batswoman's bat or glove and not touching the ground before being held by a fielder), or if a delivery made the criteria for an LBW dismissal.
Once the challenge is invoked, acknowledged, and agreed, the Third Umpire reviews the play. The Third Umpire then reports to the on-field umpire whether his analysis supports the original call, contradicts the call, or is inconclusive. The on-field umpire then makes the final decision: either re-signalling a call that is standing or revoking a call that is being reversed and then making the corrected signal. Only clearly incorrect decisions are reversed; if the Third Umpire's analysis is within established margins of error or is otherwise inconclusive, the on-field umpire's original call stands.[27]
Each team can initiate referrals until they reach the limit on unsuccessful reviews.[28] This limit is two unsuccessful review requests per innings during a Test match, and one unsuccessful review request per innings during a One Day International. From 2013 until September 2017, the number of reviews available for a team in a Test innings was topped-up to two after 80 overs. From October 2017, if the on-field decision remains unchanged because the DRS shows "umpire's call", the team will not lose its review
