No we have not "discussed this
", you haven't read my comments properly and then disputed, in fact much of what you have said here agrees with my previous posts on the topic!
I have clearly stated the protein is unlikely to penetrate or aB
sorb into the cortex, to me that makes it not acting as a deep treatment. That is my gut instinct
or semi educated opinion
based on the studies using much longer time scales and knowing that diffusion is a slow process and even temporary bonding is not instantaneous.
I have never suggested there are no benefits to or no results from from using hydrolysed protein as a superficial agent, indeed I use it myself in both my leave in conditioners. As you acknowledge at best that is protein aD
sorbing or acting as a film former, not proof that it has penetrated.
As I understand it, if very short processing times are using the protein will simply lay on to the surface, not bond to the hair and wash away easily at the next wash. The deep treatment can very easily shift protein that is not bonded to the hair, yet it seems to be after both the protein and the oil treatment that the OP reports the improvements.
If longer processing times are used or some heat or the product is allowed to dry hydrolysed protein can form temporary bonds that will endure through a number of washes, if even longer processing times are used hydrolysed protein can slowly diffuses right into the cortex. Much of this is dependent on the damage to and porosity of the hair, the level of aD
sorption and aB
sorption won't be the same for all.
A modest amount of protein used at each of a number of successive washes can accumulate to give progressively 'better' results, but again this is not what the OP is doing. Some of the benefits of coconut oil can also last one or two washes, any remaining fatty acids which are coating the surface and encouraging capillary adhesion or clumping or frizz reduction.