SYMPTOM:
In MicroStategy Web 10.3, the option to drill on a document can be disabled by unchecking the 'Enable report drilling' on the underlying dataset. However, after disabling drilling, the option to drill will still appear for the grid in Presentation mode, as shown below.

Notice that even when the option for drilling is still there, the box will appear empty effectively disabling drilling:
STEPS TO REPRODUCE:

CAUSE:
This is an identified defect in Strategy Web 10.3.
ACTION:
This issue has been addressed in Strategy Web 10.4. Upgrade to this version to take advantage of this fix.
The Strategy Internal Reference Number for the issue discussed in this technical note is DE33763.