Reading Calle's post + my 2 sats:
POW as utilized by the bitcoin solves consensus without an authority. Add in DA to emit coins without an authority who takes profit = slower/fixed and fair coin emission.
Requiring Fees + creating competition (blk size limit) to transact "slows down" transaction rate and places a cost (just like filters) to move/spend your saved-work/coins.
You have to have SATs to play.
Sats only have value due to the POW-DA design.
Sats are pure POW and will be the best neutral uncorruptible filter.