There are electrical systems where phase imbalance becomes an important issue because the neutral conductor is sized to handle a relatively small imbalance current. If changes are made to the system without re-examining the whole system, problems can occur. This has been known to happen in older, large buildings when many lighting fixtures are upgraded without proper engineering being done.
But, in a properly engineered and installed stage lighting system, there should be no worries about phase imbalances, because the electrical engineer should have sized all of the system components for the worst case scenario.
But, in a properly engineered and installed stage lighting system, there should be no worries about phase imbalances, because the electrical engineer should have sized all of the system components for the worst case scenario.