Yes, it is absolutely correct that most of the time one should NOT average down. This lesson alone is worth tens of thousands of dollars.
If you are good at timing, the time to buy more is when you strongly believe the down trend has lost steam, and has apparently REVERSED.
There is an exception, though:
When a stock plunges after you enter, and if you believe the plunge is RIDICULOUS and implies EXTREME undervaluation, you can actually take position BEFORE it reverses trend. Such opportunities seldom last long, so if you wait for reversal, you actually can miss the bargain hunting opportunity.
case 1:
when trv was around $98, being greedy, I kept waiting for further drop before entering. But the stock is a robust one, and at that PE, it was extremely undervalued. There is no further drop, and even if there is, it will very likely bounce back. It should be a very safe bet, even if it doesn't qualify as a trend reversal.
I didn't enter, and missed the ride. Today it has gone to $114, in a matter of a few weeks.
case 2:
when SAVE plunged to $43, I took position. In the next new few days it dropped to a frightening $34. I was at big loss by then. But the stock's drop was totally nonsense, nothing but out of wallstreet's idiocracy. With PE 9 and stable earnings, and past history of growth, the stock was very undervalued. I tripled down on that day. Today the price recovers to $37. At this point, my gain and loss roughly offset each other. If I had not AVD on that critical day, I would have been still at big loss by today.