Can a Specialist make a Private stand at Parade Rest for him?

In the way back machine, we stood at parade rest for anyone SPC and above who outranked us in the enlisted structure and attention for all officers until told otherwise. (Unit garrison SOP)
By doctrinal standard FM 3-21.5 / FM 22-5 Pg 4-2 para 4-2(a) You stand at parade rest for any NCO who out ranks you. Meaning CPL or senior.
If the SPC is acting as a team leader in my mind that rates same as Corporal. If the Commander has made this a unit policy then that's a lawful order promoting good order and discipline and I'd be standing at parade rest.

Personally I can think of better things to get dragged before the PSG or 1SG over, than not standing at parade rest for a SPC, or hitting TOP up on open door.

But that's just me because as I said we were required to do it as matter of unit SOP as the mind set was that we would loose SQD LDRs and Team Leaders pretty quickly and the SPCs would be bumped up into team leader slots.

The E4 Mafia used to haze the new Privates in the barracks by having them do shit like this until the Privates caught on that the Specialists had no real authority over them in terms of within the unit.

The next positions I will name, explain, have demonstrated, and you will perform practical work on…

https://m.youtube.com/watch?v=d4E_-dnTUzA

When I was in the Army a specialist aint shit. He is not a NCO and has no rank priveliges over anyone below his rank. I'm talking about a SP.4. Maybe the upper SP ranks are different and The marine Corps has it's own set of rules.

there wasnt a Spec 4 in my unit that outranked me. only time there was this 'parade rest' was to be called to attention

I never understood the "specialist" rank in the Army. In the Navy and Marine Corps when you made E4 you were a fully qualified non-commissioned officer or you wouldn't have held the rank. It just seems like the long way around, if you get non-comm pay you should be a non-comm. If you are in a technical field you need you still need to be a leader. What is the specialist thing about, is it some kind of "nerd force" where all the folks like Sheldon and Leonard from the Big Bang Theory can go an serve and not have to actually take full responsibly for being in the military.

I was a squad leader as a E4 and my plt sgt said if you have to lock one up lock him up.

The E-4 outranks the E-2. ‘Nuff said.

I can't speak specifically about Army but "and I do charge all personnel of lesser grade to render obedience to appropriate orders"

I would not recommend this. The private just might take an action that the specialist would not like!