I’ve done some coding in IF - the only scripting similarities are those that are pretty standard in all scripting languages. (commands like if, elseif, and the ability to set variables and such.) So if you’re asking if ChoiceScript is to some degree copied from IF, the answer is no.
In comparing the two languages, IF is much more complex. This makes it more powerful, more flexible, and harder to learn. (Though the basics aren’t too difficult if you have a good guide.)
The basic setup is also different – in IF, instead of handling all character interactions, you set up the structure of the game (create rooms & objects, give them properties and descriptions) and the parser handles all the basic interactions. It automatically manages character inventory and allows the character to perform basic tasks (pick up or drop objects, equip things, move from room to room).
In terms of the style of gaming, yes, they are similar. They are both text-based games. The one major difference is that, in IF, the player comes up with their own commands into the console, whereas in Choice of Games they choose one of a number of author-provided options. Both systems have their own advantages.