Really sorry it's taken us this long to get round to this - we've had a few discussions and came to a few decisions.
Completely get the point you're making, but we think it's entirely plausible that a chairperson would know a manager has a reputation for applying for multiple jobs at one time or over the course of a year, and that would potentially be seen as a negative.
That said, our examples were from scratch and over the course of the first season or two, if either of you have a save file that's deep into a game as you'd said, if you could upload it below then we'll take a look and see if there's improvements we can make.