This looks like a done deal in terms of whether it will happen or not.

Point 1.9 on the linked pdf says:

The existing Parking Policy (2014) notes that “CPZs will be introduced where over
50% of consultees in the proposed area are in support of a CPZ implementation.”
Since this policy was published, the Council has declared a Climate Emergency, set
out an ambitious Air Quality Action Plan, the population in the borough has grown to
exceed 300,000 people, and car ownership has reduced to 47% of households. The
Parking Policy requires updating to reflect the needs of Lewisham residents and
contemporary policy guidance. In order to minimise the impacts of displacement,
CPZs should be implemented based on the recommendation of officers with
consideration to the feedback of residents on each street, in conjunction with data of
parking pressure, road safety, air quality, and walking and cycling needs, as set out
in Section 8 of this report. This will enable the implementation of bespoke zones
created that meet the needs of residents, businesses and the local area.

So this sounds like the consultation will be more about how it should be implemented, as opposed to whether it will.

I guess (and it may be in the document) there will be an analysis of what problem they are trying to solve with this. Part of it clearly is to reduce car traffic and encourage other means of transport, though this is stated as in addition:

In addition, each agreed CPZ will be taken forward with
measures to encourage residents to switch to more sustainable ways to travel to their destination, like walking, cycling or public transport. These measures may include:
 Electric vehicle charging points
 Bike hangars
 Improved pedestrian crossings
 Tree planting
 Parklets and green spaces
 Footway widening
 Car clubs
 Cycle hire

I think it's going to be one of these schemes where the aim is to get people using 'greener' forms of transport and move people further away from car ownership, but the actual aim may be stated differently causing confusion.

Of course, if this comes in, for those people who need a car there will be an additional cost when moneny is scarce for many, something recognised in the PDF.

Historically these schemes have often come in to stop people driving to stations, venues etc and parking all day stopping residents being able to park. I'm not sure if that is still the case now.

I'd prefer to have a scheme that doens't allow non-residents to park say 12-2 but where residents can purchase tickets for family / tradespeople etc who are required to visit for who public transport might not be an option. This would stop the all day parking, but provide a balance where people can still be visited.

In terms of other options, I'd like more work done with police to crack down on bicylcle theft. If we want people to cycle to the shops, train stations etc those people need to be able to do so reasonably safe in the knowledge their bikes will still be there when they return.

I'm all for making the area greener with various plants and trees, though it has to be done properly of course.