Resource wise, it isn't. Those old batch systems are orders of magnitudes more efficient on a per transaction basis than bitcoin is. A lot of this has to do with the rewards system of bitcoin, which encourages miners to keep adding on more hashing power even when there is already astronomically more than is needed to run the network.
When VISA for example gets enough processors to run its network it stops adding them because there is no reason to keep piling them on, bitcoin miners on the other hand keep right on adding because they want higher returns. Bitcoin's reward system incentivises mining inefficiency. The network could be run on a few old desktops at its current transaction volume, but instead it's being run on untold amounts of ASICS with huge processor farms chewing up money and energy to keep going.
Are you paying those costs, or are they?
Mining isnt about processing transactions, it is about fairly distributing coins and preventing anyone from cornering the market.