The answer is pretty much the same - it's recipe and technique-dependent. This article by Kevin Dunn provides some of the answers:
To Gel or Not To Gel - Wholesale Supplies Plus
For a soap made with his recipe, starting with oils that are at about 100 F and using a 50% lye concentration (low water soap), the temperature of the soap in the mold reaches approximately 175 F within 45 minutes, but the soap does not gel (melt) because the melting point of the soap is higher (> 200 F). High water soap (25% lye concentration) made from his recipe melts at a lower temperature (approximately 145 F) and gel is achieved within about an hour if the starting temperature of the oils is at least 140 F. For his recipe, high water soap made with cool oils (100 F) will need external heat to force gel. The horizontal line on his charts for medium and high water soaps indicates the temperature required for the transition from solid to melted (gelled, "neat") soap. There's no transition temperature indicated on the chart for low water soap because they do not transition to gel. It's important to keep in mind that his recipe has no additives that cause heat generation, like honey or beer, and he does not add FOs, which may cause an otherwise well-behaved recipe to overheat.
From a practical standpoint, my best advice is to watch your soap until you get a good feel for how your recipe(s) behaves with and without additives and with different types of FOs. If you're using 33% or lower lye concentration you may or may not need to insulate the soap and it could take an hour or more for the soap to start to gel.
For my recipes and the methods I use, the soap usually won't gel unless I add heat and insulate. For example, for batches made in small test molds using 450-600 g of oil, recipe < 20% coconut oil, sugar added, 38% lye concentration, batter starting temperature of 90-100 F, and a non-heating FO, I put the mold on a heating pad set to high and also cover it with a blanket or thick towels. If it's not doing anything unexpected within the first 30 minutes, I leave everything as is and the soap will typically gel within two hours, which is when heating pad shuts off automatically. When I bought a new small slab mold last summer, this approach didn't work for my first batch, which gelled out to within 1/2" of the corners of the mold. For the next batch, I dropped the lye concentration a bit and the soap gelled all the way through. When I use beer or honey in the recipe instead of sugar, I may insulate the mold, but I probably won't need to add heat. When I make soap using my soy wax recipe, with a starting batter temperature > 120F, less external heat is needed to force the soap to gel. I haven't had many soaps overheat, but if I see the top getting puffy or it looks like it's going to crack, I put the mold on a rack and use a fan until it cools down.
DeeAnna posted just as I was getting ready to post this response.