Reversibility of computability implications

Determine whether the implications from 1-generic Delta-zero-two to index guessable and from index guessable to computing no maximal tower are reversible.

Background

The paper records the implication chain 1-generic Delta-zero-two implies index guessable implies computes no maximal tower implies low. It asks specifically about reversibility of the first two implications.

References

In the above diagram, are the first and the second implications reversible?

Open Problems in Mathematical Logic  (2608.26628 - Barmpalias et al., 27 Aug 2026) in 2025 Section 6, subsection Computability theory