It is if only having a limited number of directions to choose from is constraining. Randomness just means that the option chosen is dependent on the randomizer. If my choice of going left or right is based on a coin toss I have no autonomy.
Well, that's not what I meant by randomizers.
And anyway, you have to have
some constraints, because otherwise you end up with situations like this:
The Game: The PCs come across some scruffy-looking bandits. The leader points their sword at you and demands you surrender your money.
You: I transform into my God Form and set my tactical nuke-dragons on them! <rolls dice> The bandits take 15,000 damage. They can save for half.
Back to randomizers:
Take the Mythic system, which is designed for solo (or GMless) play in addition to your game system of choice. (There may be similar systems out there, but I don't know them--I do know of specific GMless games, though) I have not yet played it, since I've been busy. But anyway, the way it works is it combines two elements. The first is the Chaos Factor, which starts at a specific number and goes up and down based on how "well" you're doing (things like, if rolls are succeeding, you can lower to CF; if they're failing, you can raise it). The higher the CF, the more likely for a Yes answer. Because Yes answers lead to chaos.
The Yes answer comes because the core of the game is asking Yes/No answers (Is the chest full of treasure? Do the guards attack me? Is there a monster in the next room). There are actually four possible answers Yes, Exceptional Yes, No, and Exceptional No. You then set the odds of how likely a Yes is, which can range from very low to very high. And then you roll the dice.
So it's a lot more than just a coin toss.
There's also Interrupts, which happen when you roll certain numbers and cause things outside your control to happen. This is a series of lengthy random tables that can cause things to happen to you, to an NPC, to cause various events to occur, to introduce new NPCs or events, etc.
These are all just prompts, so you might roll
New NPC, decide that its a creature, and then roll on the Animal table to get
hungry and
mistrust. Which then have to interpret.
Of course, it's a bit more detailed than that (the book is quite large, although I was able to condense it down quite a bit for when I start using it). But
that's what I meant. Not just a 50/50 chance.