My comment about the direct trains was more that at Monument you are only expected to want the Circle/District line trains and you could pick the Circle line up from Liverpool Street. With Bank you have the Northern line, as well as the DLR and Waterloo and City (when it reopens).
Bank/Monument is a bit of an anomaly given that it really is just one station. I can’t see either being renamed as the historical importance of the associated buildings is just too great. I’m also told that there is a limit as to the number of interchanges that can be catered for in the system, and adding every Bank OSI to Monument as well might be too much.