Within the educational purpose of the circuit, it is possible to learn a lot about the RS latch and voltage comparator circuits by observing and analyzing the internal operation of the 555 to understand how it can be configured to behave as a logic OR gate.Then you don't need the 555 for that.
It just unnecessarily complicates the demo.
All you need are two switches and an LED or, at most, two switches, a transistor, and an LED.

