I don't think you are asking a question that hasn't had 50 years of study ie NA versus turbo - pros and cons - weight, cost, power delivery characteristics, engine life, etc. Turbo charging does not increase displacement.
Yes It don't change the physical dimension of your engine but how much air over time or cubic inches per minute or commonly measured cfm yor engine can displace. Which is what were ultimately talking about how much air/fuel you can displace and efficiently you can turn it into rotational power.