Question about Stop Limit order executions and the candle chart

Can anyone clarify if Stop Limit orders will execute based on the High/Low Price rather than the Open/Close price?

For example:

I set my Stop Limit to $96.40 and Stop Price to $96.39:

and the stock (at the time of execution) was:

High: $96.75

Low: $96.32

Open Price: $96.75

Close Price: $96.41

Should my stop limit execute? Just for thoroughness the stock never went below the $96.32 low price.