Good question. But like the Set-20, the A-10 should theoretically have it's own integrated "outer" seal.
Look at the pic of the Set-20 here:
https://www.wildhorses4x4.com/product/Tapered_Roller_Bearing/bronco_rear_axle
See the item at the top? That's a cover/cap/seal/thingy that seals both on the axle surface and the outer housing surface.
But instead of sealing farther in, like the standard seal does, it seals the outer perimeter of the bearing surface at the outer edge of the housing.
But the Set-20 requires some special retainers too, which hold it tight, but not putting too much pre-load on it. The issue is the Set-20 is a wide bearing and actually sits proud of the housing end.
It's how Ford did it (the Set-20 was factory installed on heavier duty applications like full size Broncos and F150's) but they never changed the housing end. It was just a standard big-bearing end with an extra wide bearing.
I don't know how the A-10 sets up, or if it sticks proud of the housing.
The issue becomes too much preload on the bearing. They still work, and sufficient lubrication likely keeps them cooler than they otherwise would, but I don't know what might happen on an extended trip at higher speeds, or with heavier loads on them.
It sounds like your guy knows the basics. Maybe they know that an A10 can be set up properly, and has the correct retainer plate.
The one from Ford for the Set-20 has a slight "dome" shape to accommodate the wider bearing, rather than being flat like our originals were.
And speaking of using sealant, when you're sure it's all going to fit properly, some people have had good luck using sealant around the outer edge where the new seal is too. I suppose it depends again, on the condition of the housing end.
Yours looks good in the pics, but I would inspect it very closely.
Sorry you're having to go through all this rigamarole. But until someone can chime in with the definitive version of how A-10 bearings are set up, that's what we have to go on.
The one thing we do know for sure is that the tapered bearings are lubed by gear lube, so do not use the inner seal. Instead they have their own seals as part of the assembly.
Paul