Agreeing with everyone else, you need to show why you thought you’d be being taken on as an employee at the higher rate, if that’s your argument. If the agency advertised an employee position at a salary then it’s different to advertising an hourly rate and separately advertising an umbrella option. But like everyone else I’m not comfortable.
If you have been working 50 hour weeks for over 9 months for the same client then, in my book, you look a lot like an employee of that client and should be entitled to employment rights like any other employee (sick pay, pension) and of course the employer would be liable for the employer’s NI. But this is a massively complex area with a large and growing body of case law which I don’t understand. And the client isn’t your respondent anyway.