UK shares held by offshore broker (non-dom query)

[dougtax]

Hopefully a fairly simple question...

If a UK resident non-UK domiciled individual has an offshore brokerage account, then any foreign shares held by that broker are presumably taxable in accordance with the remittance basis rules.

But what if the offshore brokerage account also holds UK registered stocks and/or bonds? For example, UK treasury bonds and shares in UK PLCs. As the underlying assets are UK based, is this income deemed to be UK income, and therefore taxable irrespective of whether the income is remitted to the UK or not?