Of course, the basic math would be that if you bought at a higher price, then the only way to make sure that you are in profits is to wait to sell at a higher price than you bought.
There surely are other ideas about how to manage investment (trading) portfolios, including cutting losses by selling even if the holding is at a loss, and then being able to either use that capital on some other investment, or to find a better (presumptively lower) entry point.
Some folks get anxious about tying their capital up until the amount becomes profitable, and surely I personally don't agree with following those kinds of trading approaches, absent some kind of exigent circumstances, and my own approach to bitcoin has always been to guard that I am not selling any BTC at prices lower than I bought them, and so there could be some calculation that any time that any of us make a BTC purchase, then we are willing to ride that purchase amount down to zero, if we are making such purchase under the premise that we are ONLY going to sell it once it becomes profitable, and so surely an averaging of your BTC purchase price could end up becoming a way to rationalize being able to sell at a profit based on a different way of accounting.
It is true that some investors can choose to cut their losses and can sell at a loss in order to reallocate their capital or find a better entry point. This approach can be influenced by individual risk tolerance and market conditions.
On other hand your personal approach to Bitcoin where you aim to not sell any BTC at prices lower than what you buy them for is also a valid strategy. By holding on your purchase until they become profitable you are effectively safeguarding your investment and aiming for a positive return.
Additionally... averaging your BTC purchase price can be a way to rationalize selling at a profit based on a different accounting method. This approach takes into consideration the overall average cost of your BTC holdings and can provide a clearer picture of your profitability.
Everyone has its own strategy like you have. Some have bought in bear market and not DCAing they are holding tight. Some are those who are DCAing and dont think what the price is. Some are those who bought on high price and still waiting for that value and not DCAing. Means everyone has its own mind.
Some times traders do not mind to take losses on certain parts of their investment/trading portfolio holdings in order that they can off-set gains that they made in other portions of their investment/trading portfolio holdings. Sometimes they purposefully choose to take losses to offset gains, and surely some of those kinds of accounting ideas, trading and gambling ideas are also deviating from the topic of this thread.. but sometimes we still may well acknowledge that some of the ideas that various longer term investors will propose will conflict with the ideas of shorter-term investors, and so sometimes we need to make sure that we are considering such comparisons, and not just proclaiming that there is ONLY one way to do things, even though many of us longer term investors likely engage in tactics that are way less complicating than what a trader might do, including when they are maybe employing various kinds of leverage or deploying other financial instruments in order to hedge their BTC long position.. and yes, those kinds of systems exist, even while in this thread, many of us probably recognize and appreciate that some of those tools might not even really be easily available to a lot of normie newbie investors, and the mere fact that you can even deploy such financial instruments does not even necessarily mean that you are going to have better results than the more basic ideas of ongoing, persistent and consistent BTC accumulation over a long period of time....and we have seen a lot of that better performance of the long term BTC accumulator/holder in bitcoin's history, even though a lot of those using financial instruments and trading will brag about various wins (or greater gains) that they are able to make from time to time, but they still likely do not end up outperforming basic accumulation and hodl strategies, especially if we look at longer periods of time, such as 4-10 years or longer.
It is also true that longer term investors may have conflicting ideas with shorter term traders. Each approach has its own merits and considerations. Longer term investors often focus on consistent accumulation and holding of BTC over extended periods while traders may employ leverage and other financial instruments to hedge their positions and seek short term gains.
Traders can get temporary happiness if their trade is in profit and also they can get sadness to if they will be in loss. But an investor don't care about it and he hold tight and don't involve his emotions in his investment.
While these financial instruments and trading strategies (which a trader is using) may not be easily accessible to all investors(or they have access but they don't use) it is worth noting that the historical performance of long-term BTC accumulation and holding has often outperformed more complex trading strategies over longer timeframes. While traders may boast about their occasional wins, the consistent accumulation and holding strategy has proven to be effective.