The IFS may say that with regard to corporation tax and HMRC may try to approximate the value of the tax generated in the regions but, if they do, it is only a guesstimate and, as we know, they have the uptmost difficulty in assessing and obtaining the tax due from a number of high profile international companies which attribute figures to different locations to avoid tax.
Even if they do get the corporation tax figures to relate to regional economic activity, your second quote "calculating how much of a company’s profits are attributable to economic activity in different locations is conceptually and practically difficult and is the source of many problems in international corporate taxation" and my over 40 years in UK business management tells me they do not do this for the remainder of revenue through taxation such as VAT, PAYE and NI, as the cost in manpower, time and the value to the exchequer of such a breakdown is not worth the expenditure, so the bulk of revenue raised from corporate entities is attributed to the location of the reporting office.
Bar None, if you do not understand why the subject of this discussion is of the uptmost importance to the North of England and whichever airport you are close to, you need to spend some time educating yourself.