إِذَا الشَّرْطِيَّةُ هِيَ الظَّرْفِيَّةُ
Conditional idhā is the temporal idhā employed conditionally.
When the first assertion is governed by a conditional or temporal idhā, casually coordinating a later clause may suggest that the second assertion is restricted to exactly the same time or condition. If that shared limitation is not intended, separation preserves the independence of the later statement.
Calling idhā conditional does not remove its temporal origin and function. It may be employed as a conditional expression while still conveying a specified time or situation. The syntactic question is which assertion receives that restriction, not merely whether idhā is labelled a condition or an adverb.