I don't think it does. Frankly I'm kinda glad it does not, as I really love clashed coins. I'd actually be happy if it caused the price to go lower. The only Indian Head Cent I own in my collection has a nice clash similar to yours, although mine has a faint second clash, a repunched date and gorgeous iridescent toning.
While the two close-ups do show some minor clashes, I can't see them on the full-coin images. I've seen clashes on IHC's that are visible to the naked eye. I don't think this specimen would rate much of a premium for the clash. Chris
Many folks consider die clashes detracting. That's because THEY ARE. Usually they do not have an effect on the value except in cases where the clash increases it.
Remember, "beauty is in the eye of the beholder", "one man's trash is another man's treasure". That's what makes this hobby so much fun.
Some folks think dark corrosion is beautiful! I happen to like coins struck with dies that are ACCIDENTLY DAMAGED! I especially like the clashed coins that were made on purpose with incorrect dies.
I find it really cool when you get coins where you can clearly see how the die rotated between each clash.
The OP coin clash is minor and would not add any value. A severe clash might add a little, and there are a few indians where the dies were SEVERELY misaligned when they clashed (like 50% off), those will bring a premium.
If it's listed in Rick Snow's books, more folks are probably looking for it and may pay a crazy price to own it.