When I took a graduate level Math Finance class, the professor took out a chart and did technical analysis for the class, showing the points of resistance, 200 day moving average, etc., and whether this was a good company to invest in or not. After said analysis he said "The only problem is that this isn't a stock, it's a random walk using a markov chain"
When I was preparing for math and finance exams in the past, my math professors were the authority that guided me through the field of various math and finance courses. Math professors are experts on math and they get respect from their peers based on their work in their field, which is teaching students the subject of the course. Their effectiveness is often difficult to measure and quantify as their work tends to be of a qualitative nature.
Investing and TA have their own experts in their field, which is vastly different to teaching finance and math. These experts also get respect from their peers based on their work in their field. Their effectiveness is easy to measure and quantify.
When using TA as a valuable data point in deciding when and how much to invest, there is very accurate feedback loop in place that signals to investors if their investment decisions are successful or not. They either make or lose money and their bank statements reflect the quality of decisions.
I personally find that using TA data together with all other available information increases my chances of picking the correct time to enter and exit. My feedback loop statements are guiding me if and when corrections in behaviour and thinking are required.
If TA indicators such as RSI can be disregarded, then most other market indicators, such as S&P 500, DJIA etc are equally useless. These indices do not contain information on market's future but they contain information from market's present and past. That is all we have and we just have to do the best we can with what is available.