Are you going to say that a fourth time ? Because it's wrong. SNCF has always owned and still owns units 3201/3202-3231/3232. SNCB and EUKL have the rest.
Eurostar (UK) Ltd. effectively no longer exists (it's a dormant subsidiary of Eurostar International Ltd - EIL).
All Eurostar business, interests and assets of the 3 former operating partners, were transferred to the reformed and newly incorporated Eurostar International (EIL), in 2010, in return for receiving shares in the newly formed company.
That includes the trains, which I believe are technically listed as leased and have been used as security against bank loans.
The 3 Capitals sets and the NoL sets were transferred into the books of EIL at that time and have since been listed as assets of that company, albeit with very much reduced value (e.g. the NoL sets were reduced to almost scrap value right at the beginning in year 2010-11).
There is no longer any UK ownership/interest in Eurostar.
Hermes Investment Management, who own 10% of EIL, are London based, but represent a range of international and multi-national investors.
EIL is registered in London, but is effectively a SNCF subsidiary.
Although SNCF hold 55% of the share capital of EIL, they are formally recognised by agreement with the other shareholding parties, CDPQ (30%), HIM (10%) and SNCB (5%), as the controlling authority over the EIL entity.
For the purpose of ownership, under a "reverse acquisition accounting" principle, SNCF are regarded to have acquired EIL at the company's inception.