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."

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?