Not only did they claim it in multiple forum posts they even published it on their secondary website - I have taken a copy for the FCA.
Good luck trying to make a complaint with redress from the UK via ASIC.
If you do not use a UK FCA Authorised firm in the UK you are not Financial Services Compensation Scheme (FSCS) covered & you are not covered by the Financial Ombudsman.
Further to your question, “but do control the trading accounts and how the money is traded”, read up on the Financial Services Act 2000.
Further guidance is here in the perimeter section - handbook fca org uk/handbook/PERG/
And your answer becomes clear.
But ignore all this and you could give your money to a bunch of 20 year old broker affiliate scammers because you are desperate to fund them.