In Fallout 4 when you're breaking the guy out of the Diamond City Jail for the Big Dig quest you have several options. You can bribe the guard, pass a speech check, attack the guard and break him out by force, or try to pick the lock and break him out without anyone noticing.
Your SPECIAL stats do affect some dialog throughout the game. For example, if you have a low intelligence build during the Liberty Reprimed quest, you'll have a dialog option that is basically "what are these actuators I need to build?" With high intelligence, you have a dialog option marked 'actuator knowledge' where you talk about how it makes sense that you'd need to build them because it would take some really powerful magnets to lift the arms up, or something along those lines. At low intelligence, this dialog option doesn't appear. Conversely, with high intelligence the "what are these actuators" option doesn't appear. There are numerous other examples of this throughout the game. It just doesn't have a tag next to it that says 'Intelligence' or whatever the case may be. A high charisma character gets many dialog options that a low charisma character doesn't get. The dialog system in Fallout 4 is a lot more dynamic and has a lot more depth than many people realize. You don't really see this right away though. You see it more in multiple play throughs.