The local banks just know the local market and can react more flexibly, quite unlike the automatic evaluation via StarPool and whatever the broker databases are called.
Otherwise, it also works very straightforwardly with human contact. About 1-2 weeks ago I called my advisor at the red bank to see how a low 5-figure subsequent financing would look like. As an answer, I was directly given good terms and asked whether I needed the money today (a Friday) or if Monday/Tuesday would be enough. Actually, I just wanted to inquire and initially declined.
Therefore, I would never exclude the local branch banks in advance. Even if there was nothing two years ago, there could be a new advisor today offering completely different conditions.