Pressure differential is analogous to voltage and mass flow to current, I think we are all on the same page about that.

The sorely missing bit is the equivalent of those amazing DC/DC step-up/down voltage regulators that have revolutionized the application of electricity in recent decades (all the way from tiny electronics to massive HVDC networks), and/or an equivalent of the AC transformers that fulfilled a similar role before. Actually AC is missing in its entirety, there's just no practical way of transmitting power via soundwaves.

The closest pneumatic equivalent to DC-DC converters are coupled turbines, e.g. turbochargers or high bypass turbojets. But those are not just far beyond households appliance scale, they are also limited to the high mass-flow/low pressure differential, but practical applications of pneumatic storage are the opposite.