Yes, as a prospective lender I would be satisfied if I saw the interest and fees as a flat interest rate (and clearly labeled as such), but ALSO displayed the rate that the borrower was paying in terms that were familiar to me, such as an APR.
I work in the US mortgage industry where advertising of "APR" rates is mandated so consumers can easily compare different offers. Mortgages are still permitted to have all kinds of odd financial arrangements: fees and fee-like structures (points), negative fees (cash-back refinancing, negative points), different payment schedules (interest accrued in advance or in arrears, monthly or biweekly payment schedules), and much stranger things (balloon mortgages, even reverse mortgages), and also many things vary from loan to loan (for instance: some costs vary according to which county you live in).
All of that complexity gets baked into the APR. Fees are amortized over the life of the loan (or sometimes a shorter period). Various kinds of rates get boiled down into an annualized APR. This is far from perfect: no single number can make all that complexity truly comparable, but it roughly does it's job. Each individual loan has an APR calculated once its rates and fees have been set, and marketing messages must quote APR using a sort of "typical loan" for that lender. I think you could develop a definition for "APR" that handled the flat payment method but made it comparable for someone like me.