the S:1/15 bit will have a status of ONE every time the processor has a "Go To Run" event ...
this will occur (A) when you switch from Program mode - to Run mode ...
it will also occur (B) whenever the processor "sees" a power cycle ...
NOTE: this next part is going deeper than you probably need to go ...
the processor's power supply has a "hold up" time of about one or two seconds ... when the power to the plant has a failure, the processor will KEEP RIGHT ON SCANNING during this brief (but significant) "hold up" time ...
why this can be important:
suppose that you have a 120VAC field input device which is in the ON condition ... since current is flowing through the input circuit, the input bit/box has a status of ONE while the system is powered up and running normally ... (a STOP button which is field-wired as a Normally-Closed input is a common example) ...
but ... suppose that the 120VAC input source "flickers" off for just a fraction of a second (or at least something LESS than the processor's "hold up" time) ...
here's the kicker:
the processor will make quite a few passes through the ladders before it shuts down ... during those last passes, there will be no current flowing through the field input device - and the processor will "think" that the input has been "actuated" ...
it's a common MISconception that using the S:1/15 bit will "fix" this problem ... it won't ALWAYS work as expected - IF (big IF) the power to the processor is quickly restored - DURING the "hold up" time period ...
so ...
to answer your specific question:
am I right about S:1/15 getting executed on the very first scan only and not after power cycling the PLC?
the simple "text book" answer to your question is "no, you are incorrect" ... specifically, S:1/15 will have a status of ONE both
(A) "on the very first scan" – AND –
(B) "after a power cycle" ...
BUT – technically ...
if the "power cycle" happens to be LESS THAN the processor's "hold up" time, then the S:1/15 bit will NOT have a status of ONE – even after a "power cycle" ...
this effect can contribute to some nightmarish possibilities when troubleshooting certain types of systems which intermittently "act weird" after a power flicker ...