I think that you writed wrong I think that when fee is bigger than then you will get your money faster in your bitcoin wallet so less fee slowlier transaction and bigger fee transaction is faster.
Fee bit more feasible to make the transaction faster, but my opinion on this is wrong, because all transactions are processed with the same treatment even though there is a priority for some transactions. If MemPool flood, then the fee will have no effect at all, so that any fees will not affect anything when MemPool full.