Inconsistent clipping of strip background depending on facets

[teunbrand]

When using coord_*(clip = "on") facet strips are clipped along with the panel.
When using coord_*(clip = "off"), facet_wrap() does not clip the strip, but facet_grid() does.

library(ggplot2)

# Plot with thick strip lines
p <- ggplot(mpg, aes(displ, hwy)) +
  geom_point() +
  coord_cartesian(clip = "off") +
  theme(
    strip.background = element_rect(linewidth = 5, colour = "black")
  )

# Strip is clipped
p + facet_grid(~ year)

# Strip is not clipped
p + facet_wrap(~ year)

^{Created on 2024-06-20 with reprex v2.1.0}

I'm unsure which is the correct behaviour, but they should be consistent regardless.
Perhaps this shouldn't be under control of the Coord's clipping setting at all, but rather theme(strip.clip)?