Can anyone give a suggestion regarding when to use the map() (all map_..() functions) and when to use summarise_at()/mutate_at()?
Colin gives a great self-contained answer. Since you asked for more resources on using multiple models with tibbles, I'd also like to add the Many Models chapter of R 4 Data Science which gives a broad overview of creating, simplifying, and modeling with list-columns. http://r4ds.had.co.nz/many-models.html