Agreed.
It concerns me a little that an instructor would want the OP to perform a max depth freedive (in a cold quarry!!). If the OP is not already an experienced freediver, does not have proper weighting and breathing/dive technique, and does not have a "spotter" in case of shallow water blackout.... frankly it makes me concerned.
It is one thing to do this in warm water with good viz.... cold water with "iffy" viz is another matter.
Best wishes.
i have to say it concerns me too. as a temperate (and some times b***** cold) water diver, i always feel nervous when someone tells me that they are a 'certified' diver, they learned in 'somewhere tropical' and they intend to start diving over here. then they just book on a boat. all it does is increase our incident statistics.
Free diving and scuba diving are 2 different sports. to assess solo diving on breath holding ability is lunacy, holding your breath on ascent is a sure way of bursting a lung.
if you intend to solo dive kit yourself out for it, learn how to use the kit, till everything you do is second nature (like driving a car) and go diving.