Bind r data.frames that contain column(s) of nested data.frames

After importing multiple .json files using jsonlite I was looking for ways to bind the resulting data.frames which contained one or more columns which themselves were nested data.frames. I came across the following post https://r.789695.n4.nabble.com/data-frame-with-nested-data-frame-td3162660.html, which helped highlight the problem.

## Create nested data.frames
dat1 <- data.frame(x = 1)
dat1$y <- data.frame(y1 = "a", y2 = "A", stringsAsFactors = FALSE)

dat2 <- data.frame(x = 2)
dat2$y <- data.frame(y1 = "b", stringsAsFactors = FALSE)

None of these work

rbind(dat1, dat2)
dplyr::bind_rows(dat1, dat2)
data.table::rbindlist(list(dat1, dat2))

I've discovered a few workarounds which I'll post below in case they help others.