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[Comment deleted]

I can reproduce the same issue.

I have a custom ImageView with the following onDraw(Canvas canvas) method:

    @Override
    protected void onDraw(Canvas canvas) {

        Drawable drawable = getDrawable();

        Rect bounds = drawable.getBounds();
        int w = bounds.right - bounds.left;
        int h = bounds.bottom - bounds.top;

        int left = getPaddingLeft();
        int top = getPaddingTop();
        int right = getPaddingRight();
        int bottom = getPaddingBottom();
        int width = getWidth() - left - right;
        int height = getHeight() - top - bottom;

        int saveCount = canvas.getSaveCount();

        canvas.translate(left + width / 2, top + height / 2);
        canvas.rotate(-mTargetDegree);
        canvas.translate(-w / 2, -h / 2);
        drawable.draw(canvas);
        canvas.restoreToCount(saveCount);
    }

This is the declaration of the ImageView in the layout file:

<com.example.customviews.RotateImageView
        android:id="@+id/rotatable_imageview"
        android:layout_width="wrap_content"
        android:layout_height="wrap_content"
        android:background="@drawable/oval_button_solid_shape"
        android:layout_margin="30dp"
        android:src="@drawable/ic_audiotrack_24dp"/>

And this is the vector drawable file, generated using the new vector drawable creator included since Android Studio v1.4:

<?xml version="1.0" encoding="UTF-8"?>
<vector
    xmlns:android="http://schemas.android.com/apk/res/android"
    android:width="24dp"
    android:height="24dp"
    android:autoMirrored="true"
    android:viewportHeight="24.0"
    android:viewportWidth="24.0">
    <path
        android:fillColor="#FFFFFFFF"
        android:pathData="M12,3v9.28c-0.47,-0.17 -0.97,-0.28 -1.5,-0.28C8.01,12 6,14.01 6,16.5S8.01,21 10.5,21c2.31,0 4.2,-1.75 4.45,-4H15V6h4V3h-7z" />
</vector>

I have attached three screenshots taken with a Nexus 5 woking on Android 6.0, but I can reproduce the same behavior in all the devices with the same Android version:
-In the first one, mTargetDegree = 0.
-In the second one, mTargetDegree = 90.
-In the third one, mTargetDegree = 85.

However the same code has been tested in some devices working on Android 5.1 and there is no problem. I have attached three more screenshots taken with a BQ Aquaris M4.5 (Android 5.1).

It will be fixed in the coming Android release.

Some background just FYI, before Marshmallow , canvas scaling + VectorDrawable(like ImageView) will not draw in the proper scale, therefore blurry can happen.
Now in Marshmallow, the scaling issue is fixed when there is no rotation, however rotation is broken in this 90 / 270 case.

For workaround, if it is static icon, try to rotate inside the VectorDrawable <group  android:rotation="90" .. >
If canvas rotation is really needed here, maybe cache the VectorDrawble into a bitmap and draw the bitmap instead.

instead of bitmap, one may also try to use canvas.drawpath directly, at least for some special case.
like https://github.com/zizon/Link25/blob/master/app/src/main/java/com/github/zizon/link25/ui/VectorPathDrawable.java

This affects RotateDrawable, however using View.setRotation seems to work fine.

This is also and still not running:

// onDraw(Canvas canvas)
canvas.save();
canvas.rotate(angle); // 90 and 270 don't work
vectorDrawable.draw(canvas);
canvas.restore();

This has been fixed in Android N release.

Happens with RotateDrawable as well on Android 6.0, on the N emulator seems fixed.