It won't work. It's not the total thickness, but where the stem to case line up. Starting with the 3xxx series, the rotor/auto winding module protrudes more out the back. IIRC the lower profile caseback on the 1601 will hit the rotor keeping the case from closing without crushing the autowinding.
You can take the autowinding system OFF converting to manual wind and with the right dial spacer it might fit.
The other issue with the 1601/3 is they use pie pan dials. This won't seat against a 'flat' date retaining ring. This is even a problem within the 15xx movement line as the 1601's used a different beveled calendar retaining ring. If you do a 1601 to 1016 conversion with GEN parts you need to swap the calendar ring or use a 15xx movement from a 100x, 15xx, 55xx, 1680, etc...
All that said. Even if you removed the autowinding mechanism, you probably still can't use a genuine 1601 dial.
Your best bet, if your committed is to get a flat dial Explorer 1016, eliminate the calendar all together, get a JMB bezel, get a non-cyclops crystal and see if it comes together without the autowind...