Where do we put the tethers?

2L4 is not a Hohmann free-return cycler so needs to adjust its angle, by 108°.

That 2L4's aphelion rose as the angle decreased means the angle spans that line between the Sun, SVL1, Venus, and SVL2. On its first trip, it starts like SVL1 ahead of Venus heading to perihelion. On return its angle must return to that first angle - to bend that 108°, forward. (Earth's L1 is forward, to which the cycler must catch up.)

Cycler perihelion is 1,586,931,492 km toward the Sun, usually. Given Venus' own 0.007 eccentricity, the cycler always runs by that one's own L1 halo (if aimed right). Also the cycler starts angled to perihelion. SVL1 is a fine place to park the cycler before it starts on its way. Or, park a tether up there so a craft in orbit or in Hohmann can access it, and become that cycler.

Between any L1 and L2 there's a planet. We'd like to use the planet to boost us and, hey, that's where we're reloading outbound cargo.

After its full orbit - hitting a moving target, understand - the angle is called "gamma" (γ) and is -3.57° where 0° is the direction of Venus' orbit. We expect that low value, so close to perihelion: note, it's just Math.Acos(Vector3.Dot( Vector3.Normalize( velocities.Vf) , r2)) * 180 / Math.PI - 90.

That low gamma means that either Libration Point's tether, once initially used, is not of use twice. Stations at either might be available to focus more Solar radiation at the cycler's sails.