I agree with @Hotlicks that these terms are from Robert’s Rules of Order. I also agree with the general sentiment that to kill a bill is more definitive and final than to table the bill.
In referring to this summary (http://www.robertsrules.org/), I would like to point out a few terms.
First, to Lay on the Table means:
Temporarily suspends further consideration/action on pending question; may be made after motion to close debate has carried or is pending
Its inverse, to Take from the Table, means:
Resumes consideration of item previously "laid on the table"
(While I wouldn't disagree with BrE commentary on the interpretation of table, I wonder if AmE speakers use table as an abbreviation for Lay on the table while BrE speakers use it as an abbreviation to Take from the table.)
To Postpone indefinitely means:
Kills the question/resolution for this session - exception: the motion to reconsider can be made this session.
In the US Senate and HR, a bill can be killed in a number of ways, including:
- Being voted down (See House Kills Transgender Bill After Moderate Republicans Panic)
- Not being referred back to the main body from a committee (See this.)
- Not being taken up (See this from the Canadian Senate).
- Being postponed indefinitely
- By being laid on the table (and not taken up again during that session)
- Through a filibuster (Senate only), which is not having the votes to limit debate and stopping further progress of the Senate.
I think the meaning of the OP's quote is that an idea whose time has not yet come should be reconsidered at a future date, as opposed to being banned from any further consideration.