This may sound confusing, but an "acid" doesn't necessarily result in what a non-chemist normally thinks of as an "acidic" solution (i.e. very low pH). The active ingredient in bleach may be an acid, by definition, but a normal, diluted bleach solution is about pH neutral since there is so much water compared to anything else. Think of it this way--sugar is a carbohydrate, but putting a pinch of sugar in a big glass of water doesn't make that solution a "high-carb" drink.

However, the home remedy mentioned in the OP is using "straight" bleach, right out of the bottle, and that solution is highly alkaline because sodium hydroxide is added to the bleach for storage.