Why does rendering of Rmd file with datatable fails when bslib is used on shinyapps.io?

Rendering (from a shiny app using the bslib::page_fillable container) a Rmd file containing a datatable object works locally but fails when the app is deployed on shinyapps.io.

I provide many details, example code and some speculation on why this is happening on https://stackoverflow.com/questions/78624199.

I believe shinyapps.io is the right place to file a bug report, but might be wrong about it. Any hint regarding who can (and/or should) solve this problem would be welcome.