Nobody, I searched 5 pages looking for the site, to no avail. Now this time I found it right away. It is completely different than your first one, though.
The gist of your citation seems to be "A lot of [TP] explanations,,have claimed it is necessary to include a treatent of accelerations,or involve [GR]. Not so." In their example, they, like you, also change the TP into a different experiment by saying SR "seems" to imply that either twin can be seen as being "at rest. Then they say yes and no,and that SR's implication is the reason it is a paradox.
Then they say "Bob must change his inertial frame" in order to avoid restating "the problem with [only] the names changed." They do not understand that is what SR says, that either twin can be at rest while the other leaves then returns! Wayne et al seems confused at this point since when they change Bob's frame on the planet, they accelerate him! But Ann is never accelerated wrt to Bob in SR's TP! Clearly, theirs is no longer the same TP experiment, and that invalidates their claims against SR's time dilation effect.
Let's say Bob stays home. The coordinates include earth, Bob, the spaceship, and Ann. All are at rest rest relative to each other. Primary I.F. 2 shows Ann accelerating as she takes off on the ship. P.I.F. 3 shows her return trip to earth. Yes paradox.