The council’s Strategic Planning and Transport Overview and Scrutiny Committee met on 4 November and included an update on the council’s “Transport Action Plan”, which discussed the recently suspended Low Traffic Neighbourhoods (LTNs).
In summary:
The Oakmead Road barrier will be reinstated.
In future there will be a full public consultation and council committee discussion prior to the introduction of a major traffic management scheme.
The Council recognises that a more incremental approach in delivering the LTN trials in and around the A24 and A214 may have helped.
The consultation responses to the Tooting Commons LTN are set out in this table:

The data collected in the Tooting Commons LTN are set out in this table (click to view full size):

Paragraphs 43 to 53 of the paper go into more detail about the results of the Tooting Commons LTN trial.
The council appears to have adopted a new approach to certain “essential local distributor roads”, and provides a non-exhaustive list that includes Elmbourne Road. The upshot is that:
“it may not be possible to reduce the traffic volume to a level below 300vph criteria
unless draconian measures can be implemented and are broadly supported by
adjacent residential roads”
However, the council is to continue with the traffic calming measures on Elmbourne Road and Hillbury Road until fully implemented and monitored for a period 12 months after completion as per standard practice.
The reports presented at the meeting can be downloaded here: https://democracy.wandsworth.gov.uk/ieListDocuments.aspx?CId=678&MId=6608
The Transport Action Plan was item 3 on the agenda, Paper No. 20.337.