I don't know what the end result of the findings will be.....but.....for the record....excess fuel can also cause white smoke.
I agree with the conventional wisdom that a rich mixture will lead to black smoke and the richer the mixture the "more black" the smoke will be. But, in the event of a stuck open injector causing copious amounts of fuel to be delivered to a cylinder the result will be very white smoke. Just like steam. The difference is that so much fuel is being delivered that most of the fuel is not combusting and is evaporating in the exhaust cuasing the white smoke. As long as the mixture that is burning is still in the combustable range black smoke would typically be the characteristic expected. If there is truely an excessive amount of fuel being delivered then the result is white smoke.
If the white smoke persists I would look at the injectors and the fuel pressure regulator on the port fuel injection system. A relatively common failure mode of port fuel injection systems with a fuel pressure regulator (like the FJR) is for the vacuum diaphragm in the fuel pressure regulator to fail and start to leak fuel past. The fuel enters the intake system via the vacuum reference hose and causes white smoke.
Not that this is necessarily the problem in this case....but it certainly could be the problem and is worth considering. It is easy to check by pulling the vacuum line off the fuel pressure regulator while the engine is running and checking for the presence of leaking fuel at the vacuum nipple on the fuel pressure regulator. Apply a vacuum to the pressure regulator vacuum nipple with an auxiliary vacuum source (such as with a mighty vac) and check for fuel leakage out the nipple when vacuum is applied (use a clear vacuum hose). Sometimes the regulator can leak and the fuel will be pulled thru the vacuum hose to the engine so quickly that it will not be detected unless you use a close ended vacuum source like a mighty vac. Often the regulator will only leak when a vacuum is applied, also, so don't skip that check.
If the engine is injesting coolant into the combustion chamber that will cause white smoke also but it is pretty evident based on the sweet smell of the burning coolant as to what the problem is. If the white smoke persists and smells like fuel I would definitely consider an abnormally rich mixture as a possibility.