In Trend MLS territory (Philadelphia and its suburbs) there is both the "active no showings" status as well as the "temporarily off market" status. Active no showings means that the property is currently listed for sale, being marketed, and agreements of sale are being accepted. However, during the time that the home has the showing prohibition, it may not be shown to prospective buyers, including those from the listing broker's office. The status is generally used while the seller makes some kind of repair or preparations for sale, to build momentum after a listing contract is signed but before the sellers want to allow showings, when family or guests are staying for a period of time, etc.
The temporary off market status on the other hand means that the sellers are not accepting agreements of sale and are not allowing showings. The listing contract remains in place (as opposed to a "withdrawn" listing, in which case it has been cancelled). This may be used if the sellers decide to take the home of the market while they are away for an extended period of time, if there are major repairs being made that will likely take a while to complete, etc. This status usually lasts longer than the "active no showings" status. Additionally, the reasons for a "temporary off market" status are generally more complicated and usually require an explanation from the listing agent.