I agree with you that investors who adhere to the DCA method will not be affected, while those who choose to invest a small amount may likely get affected, in terms of slowing down the accumulating process. For example, if your goal is to accumulate for about 10 years, due to high inflation, you may have to add more years before reaching your goal.
I am a bit confused by your sentence. How can we be affected by inflation while investing? From my limited knowledge, what I understand is that with inflation, your income will also increase and you will be able to buy the same amount of Bitcoin as before. For example, before inflation, your income would be 1000 fiat which is equivalent to $100. After inflation, your income would be 1500 fiat which is equivalent to $100. Here I do not see the possibility of your deposit process being slow. Due to inflation, the value of your country's fiat decreases, but the stable currency ($) remains the same. So I can clearly say that inflation cannot have any effect on your investment journey. I think your investment journey will be the same during an inflationary cycle.
During inflation the cost of commodity gets so fucking high and I believe the cost of living which is supposed to necessarily increased isn't done so by all means and this can affect your steady deposit by all means that's if you are limited to that only source of funds. But there is always a room for readjusting so that everything still goes smoothly as plan.