Once below 260kts, the valve opens and the gear extends as per the gear handle selection. It's a trap if it doesn't work that way.
This was demonstrated to us as part of initial training, I'm pretty sure you're correct.
Here is the text from the FCOM and a logic diagram. Nothing suggests a recycling is required. It would be mentioned here if it was.
NB: This FCOM covers MSN 5xx all the way to 45xx