I'm an American. The use of "table" in colloquialisms while participating in meetings has many different distinctions/meanings.

"let's put it all on the table" - I would like for you and I to be completely honest with each other, even if I don't like what you are about to say.

"let's table that" - I would like for you to remember what you wanted to say, but please don't say it now. Also, talk to me later in a separate discussion if what you wanted to say is still relevant.

"it's off the table" - That particular item/thought is no longer relevant to the discussion, please ignore it.

"clear the table" - Please get ready to discuss something entirely new of a higher priority. Or, I would like to start the same discussion over, but this time I have a better understanding of what I would like to communicate.

I rarely/never use that phrase, but I've often used "let's just table it" to mean "put off indefinitely until we forget about it."

Where I'm at we "shelf" ideas or issues and they most definitely get forgotten.

Leave [something] on the table means to forgo, give up, not take advantage, etc. It's a bit different than tabling.

For me tabling has both meanings, depending on context, could mean schedule or postpone, depending on the context of the discussion.

Leave money on the table?