Now we got an approximation to a viable Venus-Earth, more exactly Venus-STL1, let's fine-tune it. Or at least mark where someone else can; I didn't get that chance today.
First, that 72 degree angle per synod is, I think, a bit less in practice. Tweaking that (but keeping the time-of-flight) the V∞ contributing to delta-V is (usually) closer 3864 km/s. Bit less than 3876.6 km/s. Angle's down to 108° and aphelion up but still around 0.979 AU. This doesn't take into account inclination, unfortunately usually high, so as to take away all our gainz here.
To get back to Venus - making up for the lost angles - the cycler got 1168 days all within 1 AU of the Sun, so sails should do it. As compared with Hop David's 5S10 Hohmann cycler, 2L4 gets more daylight overall, but it also spends a higher fraction of its time fully laden. Maybe twice as much: he's 1/20, I'm a bit over 1/8.
As to where this km/s and 108° can be shifted: when we get to Venus, Oberth's dive into low Venus will help; and for the rest I'm looking at that tether.
TAKING THE L 3/4: Its orbit's a long-period.
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