I think you nailed it right there.
Sauron's will was literally irresistible if he fully bent it your way
and you were open (or exposed) to it.
When
Frodo took physical possession of
the Ring he opened (however unintentionally) his will to Sauron.
So did
Bilbo and
Smeagol, and
Sam.
Pippin did the same when he gazed into the
Palantir, as did
Denethor,
Saruman and
Aragorn.
What made the difference in all these people was their character, that is their moral constitution.
Put somewhat simplistically: was the person a good sort, or a bad sort.
Smeagol was a bad 'un to begin with... he throttled Deagol prior to even touching the Ring (and Deagol never put it on) .
Bilbo began his possession of the Ring with an act of mercy: sparing
Gollum who was intent on killing (and eating) him.
The moral constitutions of the other characters are evident in the story so I'll not go into each one (unless someone wants to discuss them).
So getting to Sauron's minions... all of them,
orcs,
Southrons,
Haradrim willingly gave their full allegiance to Sauron, so right there we see that all those folks are "the bad sort".
And having for all intents and purposes sworn over their entire being to him, he (being no fool about the uneven loyalties of bad people) made certain they would stay his "loyal" subjects by totally enslaving their wills.
They had to fight, no matter how terrified they might have been, Sauron's will was more powerful than their terror and pushed them ever forward into battle. Retreat, or just hanging back, was not only unthinkable, it was impossible.
That is why at the Battle of the
Morannon, at the instant Sauron was destroyed his
armies and followers became disoriented and [mostly] ineffectual.
Once their wills were their own, they lost all direction and, consequent of that, their own terror mastered them and sent them running hither and yon.
The Captains bowed their heads; and when they looked up again, behold! their enemies were flying and the power of Mordor was scattering like dust in the wind. As when death smites the swollen brooding thing that inhabits their crawling hill and holds them all in sway, ants will wander witless and purposeless and then feebly die, so the creatures of Sauron, orc or troll or beast spell-enslaved, ran hither and thither mindless; and some slew themselves, or cast themselves in pits, or fled wailing back to hide in holes and dark lightless places far from hope. But the Men of Rhûn and of Harad, Easterling and Southron, saw the ruin of their war and the great majesty and glory of the Captains of the West. And those that were deepest and longest in evil servitude, hating the West, and yet were men proud and bold, in their turn now gathered themselves for a last stand of desperate battle. But the most part fled eastward as they could; and some cast their weapons down and sued for mercy. - ROTK Ch IV, The Field of Cormallen