All in all, it will take time for you to determine which approach is right for you. Some bands and artists in the 1960s only had 8 tracks to record on before having to bounce audio to a separate track to free one up. Back then, others could get access to studios with 16-track recorders, and some folks today simply record straight to a USB drive connected to a 12-track mixer. With a DAW, you are only limited by budget and your computer's processing power; on the other hand, DAWless setups are also capable of doing lot more than artists from the past had at their disposal.
So, which should you choose?