Why the amount difference matters
The two reference amounts are not the same figure, and the gap is not trivial.
The right-of-use asset is measured at the present value of the lease payments plus certain costs. The total undiscounted lease payments are, by definition, larger, because they include the finance element spread across the term. On a five year lease at a mid single digit rate, the undiscounted total might exceed the discounted asset value by something in the order of fifteen per cent.
So the OBR references a somewhat larger notional borrowing than the IBR for the same lease. Whether that changes the rate depends on how sensitive lending margins are to loan size in the relevant range. For most SME facilities the answer is: not much. Between, say, £250,000 and £300,000 a lender is unlikely to price differently.
This is why you will see it said that the two rates are "the same in practice". That is a reasonable working generalisation, not a rule. It holds where pricing is insensitive to size over the relevant range, and is weaker where a size threshold sits between the two figures, or where the entity's borrowing capacity is constrained enough that a larger notional facility genuinely prices wider.