Recently acquiring a ring of the ram it says the target is moved 5 feet, per action used, on a failed save. Half the distance on a successful save.
Now if you push a creature 10 feet, into creatures standing behind it what's the result? Can you be pushed through a square that occupied? If you hit a wall before reaching the total pushed distance, what's the result?
I suppose this question is also true of the shave action.
These would use the rules for Forced Movement. Though it would be nice if it explicitly said that. But Forced Movement instead tries to be a catch all for abilities that move other creatures like this.
But to answer the questions here:
You can't push a creature into or through the space of another creature. That is a space that they couldn't normally occupy, so forced movement won't move them there.
Similarly, if there is a wall in the movement path, the forced movement stops before they enter the wall's space.
Interesting as in The Whitefang Wyrm it talks about slipping on ice and sliding doing damage if the PC slides into a wall or knocking other PC's prone (potentially) if someone slides through the PC's square.
I'm not familiar with The Witefang Wyrm. But a specific ability that lists its own rules and effects would take precedence over the general rules. But for the effects that don't list anything different, use the general rules.
Names are overrated anyway.