I see what you mean about the stairs leading up! I think the problem is due to several factors:
- the stairs get narrower as they go up, but we expect them to get wider because of perspective
- the vertical parts are larger than the horizontal parts, but with this perspective, it should probably be the reverse
- the edges of the steps aren't defined
While the middle "issue" can be fixed, the other two can't really be fixed without making a weaker image overall. Instead, I think you should consider alternative solutions, such as making the staircase wind instead of being just straight. That's a common method games with this projection use for staircases, probably precisely because it eliminates the ambiguity of front-on stairs by giving you the opportunity to show the sides of the steps.
Here's an edit to make the stairs curve:

I also had some fun and added some details to make the steps look a little more like they're part of the cave itself in the second edit :>