When talking about the next weapon Yoshida addressed your points, the previous weapons were designed in a way to make you revisit old content, the new weapon will not be like that, and so far the plan is that the weapon will be entirely based on a new zone called Eureka.

As this weapon follows a different design philosophy and they want everyone to start at the same point your current Anima Lux will not allow you to skip the first step of the next weapon.