I totally disagree with you here, purchasing Bitcoin through the lumsump strategy and the DCA method can never give the same results, the lumsump strategy is way more profitable because you are only buying the dip and hold, which means you can get a very large amount of Bitcoin at a very cheap rate, compared to DCA that you can even buy at an expensive rate most times. what makes the DCA method special is that as an investor that don't have much capital, you are able to buy at your own comfort bit by bit, monthly or weekly and you don't have to wait for the deep for you to buy, because most times that deep you are actually waiting for may not come again, since no body knows the lowest possible deep this time around, so it's mainly good at accumulating large amount of Bitcoin over time.
The lump sump strategy that I know is very different from the buy the dip strategy, the lump sump strategy is where you buy all at once with all the capital you have but the buy the dip strategy is usually used by investors who only enter the market when the market is just bearish conditions
I suggest for investors who only have limited capital, don't use the sumlump strategy, you will only waste your money, the bitcoin market is very volatile, it is better to just use the DCA strategy, although slowly, this strategy has been proven to be much better than sumlump and has many large investors have successfully implemented this DCA strategy