ECON Question ?!?!??!?!?

Yes. If the efficiency and technology enables a great level of productivity for the high wage country, then it will make sense to keep the production in a high wage environment. It relates to a concept called Total Factor Productivity. There are factors that can effective raise the cost of production (non wage factor).

Another point to consider is whether the produced product has a high value added component. Typically high value added products will remain in high wage countries because the skill set and training for workers will essentially make the cost of production high. It is also the case why some super computer chips are still produced in the US and not in China (also for security reasons)

Low wage country of course will have the advantage of low wage.

There are also other considerations: For example the two factors of production, labor and capital. If capital is not easily accessible (RMB for example), capital markets not efficient in a low wage country then production might not be good.

The cost of moving to a low-wage country is too high,
even higher than wages in the low-wage country
For example the transportation cost of moving its factory to that country
Or people in low-wage cannot fulfil the job requirement

As producer would maximize his gain
He would consider the cost and benefit of each option
He would stay in position of benefit>cost