I do not see it as an issue. The Construction Phase Health & Safety Plan can be made into a huge unwieldy document even for small projects or it can be a relatively simple document.

If you take a Method Statement for example, they can be large or very small documents - depending on the complexity of the task, risks, etc. So I assume it will be the same for CPPs. Indeed, some CPPs may actually be nothing more than a hybrid MS for smaller projects. The HSE may provide guidance or even a template in due course.

I would guess that many small projects will not have a CPP, or as we know it - just another prescriptive standard which will be either forgotten or ignored. The offender will probably get nothing worse than an EN to put one in place, assuming they are visited by a regulator, which in itself is unlikely.

I use a Method Statement with the following items in a table format

Project

Document Ref Number

Task or work operation

(This safe working procedure has been prepared for the following work. No other work other than that detailed must be carried out)
Location of Work

Short description of work:-

Safe Methods to be adapted:-
1. Supervisory arrangements
2. Monitoring arrangements(i.e inspections/audits to ensure that operatives/supervision as stated)
3. List of plant & equipment to be used
4. List of personal protective equipment required
5. Sequence of work to be carried out
6. Health & safety precaution s/control measures applied
Items 5 & 6 can be combined and presented as an annexe so that:-

• activities are listed
• hazards associated with the activity are identified
• risk level is evaluated (if appropriate)
• control measures are listed for the hazards identified on the basis of risk level
7. First aid provision
8. List of arrangements for seperating specialised activities
9. Controls for safety of third/other parties on site
10. Have activities assessed as “high risk” been identified with specific control measures? List references—can be combined with items 5 & 6

11. Emergency arrangements
Prepared by:-
Name
Designation
Signature
Date

I thought the CPP would not be required for single contractor works?

It is not an apparent requirement !

I think you thought wrong:

"A client must ensure that before the construction phase begins, a construction phase plan is drawn up by the contractor if there is only one contractor, or by the principal contractor;"

"If there is only one contractor working on the project, the contractor must draw up a construction phase plan, or make arrangements for a construction phase plan to be drawn up, as soon as is practicable prior to setting up a construction site. "