[...] this shows the same 10 ohm resistor which, along with the capacitor, acts as a filter.
I think you're talking about R1(?) (in your schematic), while t0m
asked about R4 (still in your schematic), which isn't in any app note, as pin 6 is shown without any connections (V+ implied), except for a 50nF supply filter in the AM radio amp.
Unless the supply carries a lot of noise/transients, there's no reason for R4 (and C5 can be a lot smaller). Motors, servos, relays etc. may warrant using the R4/C5 if the supply isn't handled well at the sources of noise though.