Anglican Church in Aotearoa new Zealand: Mutual Ministry Guidelines - Tikanga Pakeha (1996)
Quoted in Diocese of Auckland: Developing Local Shared Ministry in the Diocese of Auckland
This document has a different focus than ours, for careful study reveals that the local-priest consept has an inbuilt bias in favour of the retired or unwaged person. Nevertheless some insights are offered that may be helpful to our discussion. Being concerned with 'locally referenced' licences, such licences are contrasted with ones that are 'centrally referenced' -

"A licence issued to a person in Local Ministry is 'locally referenced', that is the primary question is the person's local credibility. Those licensed for ministry in other contexts on the basis of qualifications which are less localised, such as particular training and experience, might be thought of as 'centrally referenced'." [Quote, p.7]

The centrally referenced person has a degree of mobility not accorded to the locally referenced person -

"Conventionally, if a person ordained for ministry pertaining to a 'centrally referenced' licence moves to a new context they are able to present their credentials to the bishop and if thought approporiately qualified (by training, temperament and experience) and a ministry exists they should expect to be licensed." [Quote p.7]

The protocol goes on to explain that a locally referenced person should not entertain such an expectation.
There is also an implication that transition to a centrally referenced ministry by someone holding a locally referenced licence, would present additional hurdles -

"... they will need to satisfy the bishop of their qualifications in terms of training, temperament. Such a candidate might also be epected to participate for an agreed time in a training programme such as the regional ordination training programme in order to ensure that they have both the additional ministry skills appropriate to a centrally referenced licence and support for the necessary role transition." [Quote p.7]

The last sentence is a bit of a giveaway. It speaks of 'additional' ministry skills required for a centrally referenced ministry. There is no suggestion that a centrally referenced minister needs additional ministry skills to function in a local situation. What is revealed is that the skills required for a centrally credentialled ministry are portable ones.
A PSE might be EITHER centrally or locally referenced, with corresponding implications for formation.