To address your first paragraph:
The MIDI-to-USB converter being an ‘active element’ means that the converter itself needs power.
MIDI doesn't carry power (only a ground, and a balanced pair for the signal). But USB must provide power (at least 5V 100mA, usually 0.5A or more). So the converter must take its power from the USB connection. (However, it's unlikely to have an internal battery, so there's nothing to ‘charge’.)
In fact, the MIDI signal is electrically separated with an opto-isolator, so even if it did carry power, there would be no way to transfer power between the ends of a MIDI cable, regardless of whether it connected to a USB converter or directly into another device.
However, your second paragraph is about a direct USB connection between devices…
USB can carry power. However, it's directional. (Before USB ‘C’, this was enforced physically: ‘hosts’ such as computers and hubs had A-type sockets, while devices such as printers had incompatible B-type sockets, and cables would always have an A-type plug at one end and a B-type plug at the other.) In general, I think the host must provide power for the device to use, never vice versa — and since the computer or tablet must be the host, then it can't receive power from the electric piano.
More recent USB versions have added more flexibility for charging, but the Roland FP-10 has only a traditional USB B-type socket, so it won't be able to provide power through it.
All of which points to your option 3 (no charging), either way!