I'm not seeing this in the Tiering System FAQ, but more importantly,
none of this actually proves the existence of an extra temporal dimension that contains an uncountably infinite amount of "snapshots," which is necessary for the higher tiering (except for the part about operating on an extratemporal axis, which is not proven in Sonic).
I never claimed that "Sonic doesn't qualify because he doesn't 'hyperjump' between snapshots," it was that
Sonic doesn't use "time travel" between hypersnapshots. The reason for this is that the usage of "time travel" is the
sole method by which Shake's blog uses to prove that there is a "time-like" progression between events, and without it, shake has
no reason to call this progression "time-like." The issue with using either of these scenarios as proof of a hypertimeline is that neither of them demonstrate a continuous, time-like progression of "hypersnapshots." Sonic simply travels from one hypersnapshot to another, which is only proof of a tiny amount of "snapshots" in comparison to the uncountably infinite amount necessary for the 6D tiering that we're giving Sonic. The tiering System actually addresses this,
explaining that cases in which entire timelines undergo change may still only involve a finite number of timelines.
You could potentially argue that there is a "hypertimeline" in some sense but is not applicable for tiering, but the standard for a hypertimeline that grants higher tiering is much more strict. To justify higher tiering, this hypertimeline must not just be a set that contains timelines, but
must contain an uncountably infinite number of them. "{t0, t1, ... tn} is only
countably infinite. None of your examples prove this