Ah - a voltage sensing isolator?
Some isolators don't delay the first connection because it will be a valid "alternator is charging" situation. But after voltage sags (idling, fans or headlights on or amp thumps etc), it they disconnect, they will wait a while before reconnecting - often up to 60 seconds. That is usually a "fixed delay".
That is one of the issues with voltage-sensing isolators. (As I often write. They must have switching delays...)
But connecting straight away IMO would be desirable - it gets "normal" voltage to the aux/PC battery ASAP (ie, >13.6V instead of <12.6V).

