Very informative article in the Independent today. Too many topics covered to quote here, but it does appear to answer the question of subsequent re-entry with some authority.
www.independent.co.uk
Simon Calder: What UK travellers need to know for 2026 holidays
Travel expert Simon Calder answers readers’ questions on what travel will look like in 2026 – from the EU’s new entry-exit system and biometric border checks to rising costs, tighter rules and what British travellers should expect at airports on both sides of the Atlantic
and'Once you have registered, on subsequent encounters with the entry-exit system you will need only one biometric taken; this is almost certain to be the face, since it is a lot less hassle than fingerprinting'
Note also that you have to go to the EES kiosk (assuming there is one, otherwise to the officer) every time you visit the EU. The process will be quicker after the first visit, but they still want to check that your passport matches you, and that you have not been added to any Schengen watchlists since your last visit.