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I generally agree with you. I was just giving a possible genesis of the OP's instructor's criteron.
Yes, it sounds like the instructor is mixing up two concepts (if the OP's post is accurate). My understanding is that one shouldn't dive without a redundant airsource to twice the freedive depth (in order to allow for a CESA) but once you have an appropriate redundant air source that rule goes out the window. Then you depth recreationally should be guided by experience, NDL limits and/or your reserve backgas & redundant airsource volumes.
One of the requirements of the practical portion is to make a free dive to the deepest I am able to go. My "solo certification" is to twice the depth I am able to go free diving.
Solo instructors seem to have some strange ideas sometimes. The first instructor I contacted would not do the course unless I carried an AL 40 as my redundant air supply. When I suggested that this was overkill for the diving I planned to do he became quite insistant that this was the minimum redundant bottle that he could certify for. This was for the SSI cert.
Found another instructor.
One of the requirements of the practical portion is to make a free dive to the deepest I am able to go. My "solo certification" is to twice the depth I am able to go free diving. Maybe I am missing something here, but to me free diving abilities and scuba diving skills are very different.