I've seen this be called "Mazes With Rules" or "Logic Mazes"
see: https://www.logicmazes.com/dec99.html for Robert Abbot's take on the term, and if you want more of them he's published some online https://www.logicmazes.com/ as well as in two books https://www.logicmazes.com/super.html and https://www.logicmazes.com/mad.html
Completely agreed, they're lovely. So much more maze per maze
Not the question, but for those curious about the answer to the maze:
Then trial and error from the start to reach that square after passing through a 3. Not that hard since we get to dead ends pretty quickly in many of the branches.
Since you mentioned creating your own such puzzles, you should take a look at this post. Ultimately the key insight is that this kind of maze can be represented by a totally ordinary maze problem on a directed graph, so standard BFS can be applied from any end.