As an engagement manager in the legacy London EY-P practice, happy to try decipher this for you - it can be a bit confusing indeed!
As a starting point, it's probably best to travel back in time a few years to understand how this team has been built up. Back in 2015, there were actually 3 separate teams that are all now housed under the same brand 'EY-Parthenon Strategy':
- Parthenon - heavily focused on Education sector and mid-market PE clients
- EY Commercial Advisory Services (part of TAS) - very similar to the Parthenon team, focusing on PE clients and growth strategy, but covering different sectors (e.g. Industrials, TMT, Consumer)
- EY Advisory Strategy - serving larger clients on longer term projects (e.g. operating model design, sourcing / supply chain, performance improvement, etc). Sector strenghts are as you outlined above, e.g. in Consumer & retail, Energy, Automotive
So, as you say, the most recent change has been to join the 40-50 consultants from EY Advisory Strategy into EY-P Strategy, which is part of the newly formed SaT (Strategy & Transactions) EY service line - forming a group of c.150 consultants in London. All the services and focus industries remain the same, and now there's just a larger pool of consultants that can have a more varied strategy consulting experience (ability to choose between 'transactions' or 'corporate' projects).
Hope that is helpful, but please shout if you have any other questions.