Investing in Bitcoin and still trading at the same time are two things that can't easily go together because their is a certain way a trader thinks which is totally different from the exact view of an investor, because a trader is always looking for an opportunity to make quick money in the market, while an investor is in for the longer term , so I believe that if an individual decides to do them both, it will be extremely difficult for that person to keep to his holdings because the urge to trade will always be bigger than the urge to invest, but anything that makes the urge to invest bigger than the urge to trade, just know that, that fellow will eventually stop trading at some point because traders and investors don't sees things the same way, so in my own opinion, as long as you are an investor, it would be very wrong to be trading, because by doing so you will not be able to hold unto your investment because when the urge to sell for minimal gains comes, you cannot say no to it.
Hey OP, I see you are thinking only one way. You thinking about only one way is not enough, you have to such an aspect that you always keep right, and if you can do something else, you will do it. Continuing the investment trend is right, according to DCA. But it does not depend only on it. Those who know well and understand well continue their investment trend and try to do something else at the same time. It is not like that, you have to lose your investment to try to do something else. If you can maintain it properly, then it is right.
The things you said are actually right, but beyond these, many types of people are interested and can do something else while continuing their investment.