The way I see it is that those who follow price action, whether it be following chart patterns (support/resistance, trendlines, fibs, candlesticks) or using their naked eye, prefer the subjective/interpretive element of trading.
Whereas those who follow indicators like the rule-bound element of it. A case can be made for each I suppose, and pitfalls are plenty with each method.
There is the complaint of how indicators lag - yet there are plenty of attempts to make indicators lag a whole lot less, though these attempts tend to add more noise in the picture. However, because it is easier to follow rules with indicators, they can be planted into an EA and quantifiably backtested. That is a big plus!
I Think, Therefore I'm Guessing