Adding the part that turns "different" into "wrong", because there is one specific way this goes badly and it is predictable.
Ease. A pattern is drafted with a certain amount of room built in for the fabric it expects. A crisp fabric holds that room away from the body as shape. A drapey fabric does not hold anything — it collapses onto you, so the same amount of ease reads as excess fabric clinging in places you did not intend.
So a shirt dress in a fluid fabric often wants less ease than the pattern has, particularly through the bust and waist, or it looks like a garment two sizes too big rather than a soft one. That is the adjustment you were asking whether existed.
The other places to watch on this specific substitution:
Gathers and pleats. Drafted for a crisp fabric they will be crisper and stand out; in your twill they will fall flat and soft. Usually fine, sometimes the whole point of the design and now missing.
Collars, cuffs and plackets. These rely on body. In a fluid fabric they go limp. This is fixable — a firmer interfacing than the pattern calls for restores the structure exactly where the design needs it, and it is the single most useful adjustment for your dress.
Buttons and buttonholes. A soft fabric gapes more between them. Interfacing the button band well matters more than it would in poplin.