Most likely. There are plenty of "cross ... then" directives in TERPS and other procedure design document. Turn anticipation at VOR and VOR intersections, especially enroute, existed before RNAV.
Yeah. And in the AIM. 5-3-5 So yeah, it’s about more than using RNAV.
5−3−5. Airway or Route Course Changes
a. Pilots of aircraft are required to adhere to airways or routes being flown. Special attention must be given
to this requirement during course changes. Each course change consists of variables that make the technique
applicable in each case a matter only the pilot can resolve. Some variables which must be considered are turn
radius, wind effect, airspeed, degree of turn, and cockpit instrumentation. An early turn, as illustrated below, is
one method of adhering to airways or routes. The use of any available cockpit instrumentation, such as Distance
Measuring Equipment, may be used by the pilot to lead the turn when making course changes. This is consistent
with the intent of 14 CFR section 91.181, which requires pilots to operate along the centerline of an airway and
along the direct course between navigational aids or fixes.
b. Turns which begin at or after fix passage may exceed airway or route boundaries. FIG 5−3−1 contains an
example flight track depicting this, together with an example of an early turn.
c. Without such actions as leading a turn, aircraft operating in excess of 290 knots true air speed (TAS) can
exceed the normal airway or route boundaries depending on the amount of course change required, wind
direction and velocity, the character of the turn fix (DME, overhead navigation aid, or intersection), and the
pilot’s technique in making a course change. For example, a flight operating at 17,000 feet MSL with a TAS of
400 knots, a 25 degree bank, and a course change of more than 40 degrees would exceed the width of the airway
or route; i.e., 4 nautical miles each side of centerline. However, in the airspace below 18,000 feet MSL, operations
in excess of 290 knots TAS are not prevalent and the provision of additional IFR separation in all course change
situations for the occasional aircraft making a turn in excess of 290 knots TAS creates an unacceptable waste of
airspace and imposes a penalty upon the preponderance of traffic which operate at low speeds. Consequently,
the FAA expects pilots to lead turns and take other actions they consider necessary during course changes to
adhere as closely as possible to the airways or route being flown.