The only difference between a long-term eSIM and a long-term physical SIM is the SIM type.
(eSIM: intangible / a physical SIM: tangible)
Other conditions are the same:
-Available plans
-Prices
-Coverages
etc.
However, depends on the identification document you have, you may still be required to pick up yourself in person an envelope contains QR code to install your eSIM at our Shinjuku office or airport counter.