BC versus backplate and wing
It is not as much a matter of what is feasible. Its more a matter of what is optimal.
You can perform technically-oriented dives wearing a BC. Is it the equivalent of doing so in a backplate and wings? IMO, no
it isnt.
First, lets consider a technical dive to be one in which the diver is incapable of surfacing should something go wrong. Either a solid overhead prevents ascending, such as a cave or wreck, or a decompression obligation exists that may injure or kill the diver if they surface. If you can swim directly to the surface should some sudden problem occur, regardless of what youre wearing it isnt a technical dive. There is no such thing as tech-lite. You either solve the problem submerged, no matter what it is; or it isnt really a technical dive.
Second, like lots of things, much of this issue comes down to philosophy. People go into wrecks and caves wearing the most outlandish array of crap, and quite frequently they survive. You CAN do a whole lot of things. In a question like the one youve posed, its more a matter of what are the arguments both ways, and what represents an OPTIMAL approach and why.
The philosophy espoused by many technical divers, from different agencies, is simplicity and minimalism. Dont take it if you dont need it. Streamline aggressively to prevent entanglements and becoming hung up. Solve problems above the surface, before they become problems below the surface. When you absolutely must solve a problem at 200, many technical divers become real focused on preventing problems from occurring there in the first place.
Generally speaking, BCs offer things that bp/wing rigs do not. A generic BC might have plastic triangular rings sewn onto the fabric in different places, pockets, chest straps with plastic quick release buckles, Velcro cumberbunds around the waist, straps sticking out to hold hoses coming over your shoulders, padding in the back or in the shoulder straps for comfort, nylon strap handles near where the top of the tank would sit, weight pockets for non-ditchable weight secured with either Velcro or quick release buckles, ditchable weight pockets with small T-shaped handles that allow the weight pockets to be ditched, two or three D-rings on each shoulder, adjustable straps hanging down in the front which you pull on to tighten the BC over your shoulders, some offer another waist attachment strap, also often with its own quick release buckle. Every place there is a buckle or fastener, there is a nylon strap that allows adjustment, and the free ends of these straps wave about underwater. They are complex affairs, and they offer numerous edges, fabric panels, clips and rings and releases and straps and handles all of which could conceivably tangle in monofilament fishing line, fish net, electrical wiring hanging down, lines and cables and broken panels in shipwrecks, small cracks in rocks, etc.
BP/wings rigs offer very little of this. They are simple affairs. They appear uncomfortable to the uninitiated, as they are metal plates, wingnuts, and nylon straps. No padding. No pockets or adjustable straps or buckles. Just one long nylon strap and one waist buckle.
The goal is simplicity, elimination of all possible hazards or things that could go south below 200. And yes, they are harder to take off than a BC. The thing is, the last thing you want to do below 200 is to have one come off.
It is a philosophical position that attempts to foresee all the things that could cause problems for the team, and systematically eliminate them as potential problems.
And with respect to the team, who are you diving with? If a team of 4 divers is proceeding down a narrow constricted passageway in a shipwreck for example, and the leading diver becomes snagged on some debris in low visibility, the entire team is bottled up behind that diver until the situation is resolved. Each member of the team is responsible to and for the entire team, not just their own well-being. If you were the 4th diver, you could conceivably suffer great harm due to the lack of diligence of another team member. Why would any diver deliberately choose to be the team member with the highest probability all else being equal of encountering some form of malfunction or accidental delay?
Technical diving is only peripherally about the equipment. Its about your mind. Its about your mental approach to diving. As Spectre puts it
its about how youre diving the dive. Technical diving is a thinking persons game, and if you think about it, the goal is to reduce the risk of unexpected catastrophic failures to near zero.
Thats why most technical divers wear backplate and wing rigs.
Can you wear a BC and do technical dives? Sure. Have at it.
Is it the wisest way to approach those dives? IMHO, no.
Dive safe.