Not knowing the rest of your recipe, I can't say for sure, but I believe it may be a bit too cool.
What do you normally soap at? And which soy wax did you purchase? Is the melting point of your soy wax is the same as the melting point of the oil you are replacing, you wouldn't necessarily have to change your soaping temperatures at all. However, if you are only adding a new oil and all the other oils are liquid at room temp, then, yes of course you need to soap warmer.
As long as your melted oils all remain clear & not cloudy, that's your indicator of how low you can go, but you should soap at a slighter warmer temp because the batter may cool if you try anything like multiple colors and so forth.
But to give you a temperature range with GW415 soy wax in the mix, See these posts:
130° F :
Soy Wax Soap Saranac was the SMF member who got me into using soy wax
125° F :
Contemplating soy wax
100.4° F (38° C) as lowest temp:
Soy wax soap and frozen goat milk
113° F (45° C) usual temp:
Temperature for CP
100.4° F (38° C) as lowest temp:
Soy wax soap and frozen goat milk
100° F not warm enough in some cases:
Soy wax soap and frozen goat milk
The temperatures would need to be higher for a soy wax with a higher melting point.