Mostly depending on the spell, but in general, it doesn't work that way
First some preliminaries:
The Frightened condition says: The creature can't willingly move closer to the source of its fear.
So we have to consider, what is the source? Most spells don't have the "line of sight" clause, you just get a save as described per spell. But I did find a few that need to be looked at.
The Fear spell
You project a phantasmal image of a creature's worst fears.
This one is pretty easy. The caster is projecting an image of the target's fear. The caster most likely is not that fear. It could be a swarm of bees, a ghost, a snake-headed humanoid. But the caster doesn't know. So making a duplicate of the caster doesn't do anything for the fear spell. It just makes another target.
You tap into the nightmares of a creature you can see within range and create an illusory manifestation of its deepest fears, visible only to that creature.
This is the same; you create an image of fear, but it does not need to be the caster so a duplicate doesn't mean anything.
Here it may or may not make a difference
You target something within range, either a Huge or smaller object or creature or an area that is no larger than a 200-foot cube.
Antipathy: The enchantment causes creatures of the kind you designated to feel an intense urge to leave the area and avoid the target. When such a creature can see the target or comes within 60 feet of it, the creature must succeed on a Wisdom saving throw or become frightened. The creature remains frightened while it can see the target or is within 60 feet of it.
Ending the Effect. If an affected creature ends its turn while not within 60 feet of the target or able to see it, the creature makes a Wisdom saving throw. On a successful save, the creature is no longer affected by the target and recognizes the feeling of repugnance or attraction as magical.
This is a little weird. Everything is based on "the target"; but the target can be a person, a place, or a thing. The image spell could duplicate a person or a thing, but it can't duplicate "an area". So we can assume that isn't a valid case for what you're trying. But it's still relevant.
The other clue is that the enemy can still be influenced by the spell if they are within 60 feet of the "target", regardless of seeing them or not. Which means that the effect emanates out from the target. To me, this means that the victim "feels" the Antipathy. So just seeing another copy of the caster, if they were the original "target", doesn't give the same vibe.
So it could go one way or the other. Since the save is based on either distance or line-of-sight, it really doesn't matter if the creature is within 60 feet. However, outside of the range, if the DM does say it works, I would recommend that the save is with Advantage as even though it looks like the target, it doesn't feel like the target. Also keep in mind that spells like minor illusion only work for 30 feet, so they might not even extend out far enough to matter.
The target is frightened of you. On each of its turns, the frightened creature must take the Dash action and move away from you by the safest and shortest available route, unless there is nowhere to move. If the target moves to a place at least 60 feet away from you where it can no longer see you, this effect ends.
This is very close to the previous spell in that it's not just line of sight, but must be over 60 feet away.
I would rule this in the same way--Advantage to break the Frightened condition once they are out of the 60 foot radius and looking at an illusion.
There are probably a number of features that have similar wording, so use this as a guide.
- If the feature causes a creature to see a frightful image, then making a duplicate doesn't change anything.
- If the feature has a radius, then it doesn't matter while they are still in the radius. And the illusion spell might not reach beyond the radius.
- If the feature causes a creature to be afraid of "you", then it's really "you" they are afraid of so an illusion most likely won't be as intimidating.