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Is a through-current not allowed in a synchronous rectifying circuit? For example, the time during which the through-current flows has to be short, or the through-current must be within the transistor ratings, etc.
Basically, the occurrence of a through-current is undesirable, and the IC deals with this by providing a dead time during which both transistors are turned off. Regarding the hypothetical conditions, operation may be possible, but considering efficiency and reliability, the through-current should probably not be allowed.