How much of the total income do the top 1% of earners account for? And when you say 30% of total taxes, is that all taxes or just some subset? In the US, it's extremely common to make such comments which only refer to income taxes, ignoring payroll and sales taxes which are regressive. I don't know if it's similar for UK figures, but it has left me wary.
UK figures get kind of messed up by NI (National Insurance). It's basically income tax + pension payments + etc. rolled up into one, but billed separately from "income tax". For most people it's around 8-12%.