I can't answer for Part 61 however the 'logic' of what's granted - or rather, not granted - for an instructor rating under the old system probably was retained under Part 61 ie pretty much nothing.
Previously, the rules specified certain minimum experience & training requirements for various levels of instructor rating, namely:
Grade 3: 50 hrs of training under an approved (or accepted, CASA interpretation changed over the years) syllabus.
Grade 3 with min. 100 hours experience (colloquially known as a 'Senior Gr. 3) could be authorised by a Chief Flying Instructor to instruct without direct Gr 1 supervision, and to send students for subsequent solos. Still never a 1st solo in any sequence though.
Gr 2: Min 200 hrs ab-initio + 50 hrs x-country training (note under a CASA approved/accepted/whatever syllabus) *and* min 6 months as a Gr 3: Could send students for a 1st solo in any sequence.
Gr 2 + 400 hrs instructional experience: Do BFR/AFR/whatever reviews
Gr 1: Min 750 hours instructional. 500 from PPL & CPL syllabus stuff ie *CASA* PPL & CPL syllabus so FAA turns around a point etc don't count: Supervise Gr 3 & Gr2. Be a Chief Flying Instructor and a few other things *and* be a Gr. 2 for min 1 year. So, unless you met the experience & time requirements you wouldn't qualify for the higher level instructor ratings.
I'd be willing to bet the previous 'logic' still applies under the new Pt 61 rules.