It absolutely does need to go somewhere else. The issue under discussion is not yet operational. It's not yet a law, or part of a contract. While it is on the table, it is nothing more than hot air. The participants have to come to a consensus and carry it away from the table as an agreement before it becomes actionable.

Tabling an issue means it isn't progressing into operation. It's still on the negotiating table, but we are moving on to other, more pressing issues for the time being.

Context also matters. If the issue isn't currently under discussion, then yes, it makes sense that "tabling" means you are bringing it to the table; inviting discussion on that issue.

But, when the issue is already under discussion, a proposal to "table" that issue certainly doesn't mean to reintroduce the issue we are already discussing.