Display name of model in report output

It would be awesome if you could consider adding the name of the "start object" of a report to the report's name. So, for instance, when you run the report "export graphic as pdf" on the model my first process- it would be awesome if the pdf's name could be: "export graphic as pdf- my first process". That makes it easier to find the right model when you have run the report several times.

Of course, it would be awesome, if the idea could be applied to other reports as well. But for now the export graphic as pdf would be really helpful.

Thanks for your consideration.