Since I do have issues with the narrative design I try most of the time not only to show off where the issues are but at the same give suggestion how they could improve upon what they showed or what they actually have.
In the legacy series you had full control over the one you interrogate. I liked them because I could hear the funny dialouges with Sam's black humour but also because they gave me the freedom to skip them if it wasn't required to interrogate the person.
In Conviction the interrogation is restricted to a specific area but therefore they added the physicality which always ended in a three times hit and then answer sequence though.
In Blacklist it seems like you aren't in control over the whole interrogation sequence. It may let you do a few things (like turning the knife in the wound of the person you interrogate) but they seem to be more of QTE (Quick-Time-Events) rather then being really in control over the whole situation. I thought Maxime didn't like such things.
After Conviction I thought the natural evolution of interrogations would be to have the freedom like in previous games but also the physicality as an option to bring the guy to tell you some info. I will describe how it would work. You may add your own idea here too.
So in Conviction you may remember the move when you had an enemy as a human shield and went with him torwards an edge or a wall, you would be able to hit his face with the wall or the edge to kill him. Now that's how the interrogations would work too. If you have an enemy who has something to say, you can switch to the interrogation mode where you can decide to be brutal or to be calm & collected as we know Sam. Now in brutal mode Sam would be able to interact with the whole environment around him to get the guy to talk. It would work just the way as the wall-meets-face feature. In the calm & collected way Sam is able to pull the guy against a wall or the bottom (like in DA) to tell something or doing it the complete classical way and being able to skip the whole interrogation. The environment would be a very important key aspect for both brutal & calm (classic) interrogations. Sound would also play a role. What do you think about that?