Generally speaking, yes 200mm is 200mm despite the fact that it is a Nikon or a Sigma, a **Micro** or a zoom. That is with several caveats.

Are you sure about Macro?

According to wikipedia:

"The effective focal length is nearly equal to the stated focal length of the lens (F), except in macro photography where the lens-to-object distance is comparable to the focal length. In this case, the magnification factor (m) must be taken into account:

f = F \cdot ( 1 + m )

(In photography m is usually defined to be positive, despite the inverted image.) For example, with a magnification ratio of 1:2, we find f = 1.5 \cdot F and thus the angle of view is reduced by 33% compared to focusing on a distant object with the same lens.

A second effect which comes into play in macro photography is lens asymmetry (an asymmetric lens is a lens where the aperture appears to have different dimensions when viewed from the front and from the back). The lens asymmetry causes an offset between the nodal plane and pupil positions. The effect can be quantified using the ratio (P) between apparent exit pupil diameter and entrance pupil diameter. The full formula for angle of view now becomes[5]:

\alpha = 2 \arctan \frac {d} {2 F\cdot ( 1 + m/P )"