It's not inaccurate. 

perl -s script.pl -R=val args for program
     \/           \____/ \______________/
    perl            -s        script
    opts           opts        args


perl -s script.pl -R=val -- args for program
     \/           \____/    \______________/
    perl            -s           script
    opts           opts           args

perl -s -e'...' -- -R=val args for program
     \________/    \____/ \______________/
        perl         -s        script
        opts        opts        args


perl -s -e'...' -- -R=val -- args for program
     \________/    \____/    \______________/
        perl         -s           script
        opts        opts           args

[download]

As you can see, the -s options go until an argument that doesn't start with "-" (which they call a "filename argument") or a "--" is reached, and that's the case whether -e is used or not. This is exactly what the paragraph you quoted claims. (Ok, it doesn't say the --" argument is absorbed, but that's not relevant here.)

What's confusing you is the unmentioned rule that you need a "--" before the options for -s when no file name is provided to perl. perlrun is silent about it, but a "--" is needed before arguments when the first argument starts with "-" (whether -s is used or not). It does mention it accepts "--" (in the synopsis), but it doesn't say what it's for and when it's necessary.

In the worse case you could have something like this: 

perl {perl opts} -- {opts for -s} -- {script opts} -- {script args}

[download]

Update: Tweaked wording.

In reply to Re: perlrun doc inaccurate on -s switch by ikegami
in thread perlrun doc inaccurate on -s switch by Discipulus

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