The first paragraph of the regulation change of June 2020 states this regulation applies to "aliens who are permitted to stay in the Kingdom temporarily."
I think that would include anyone with an "admitted until stamp" in their passport tourist, visa exempt etc.
The last paragraph adds aliens that have a multiple entry visa or a re-entry permit to the group "aliens who are permitted to stay in the Kingdom temporarily" mentioned in the first paragraph.
One possible reason for adding that final paragraph to the regulation is the next section, Section 39 of the Immigration Act, did not include multiple entry visas.
<Immigration Act Section 39 If, after having received permission for temporary stay in the Kingdom, the alien leaves the Kingdom, it shall be deemed that the temporary stay permission is terminated. But, if prior to leaving the Kingdom, the alien is granted permission to re-enter by the competent official, and the re-entering alien is not a prohibited person under Section 12, and if the period of time previously permitted for a stay in the Kingdom is remaining, the alien shall be permitted to stay in the Kingdom for the time which is still remaining.>