It is a standard design rule that a regulator need a capacitor on both sides and as close as possible. Basically on the input side it is for a better stabilised voltage and with an LDO to be sure with a low input the voltage drops will not affect the working. On the output the capacitor is to prevent a resonance because the output voltage is also feed back into the regulator. The datasheet tells the default stuff but is not needed to hold on. Most of the time they advise a ceramic 100nF and an electrolytic capacitor of at least 10uF because both have a bit different working and do fill up each other. A tantalum capacitor has a bit of both. Today there are in SMS high capacity ceramic capacitors from 1uF up to even 470uF and are now well used to rule out any type of electrolytic capacitors.

No, I do not use it anymore. I have (still) 2 Futaba T3VCS transmitters and with them 2 Spectrum HRS modules and 9 receivers and a normal DSM module with 3 receivers and the telemetry system. But since 4 years I now use a Futaba T7XC and as a spare a T4GRS.