Final answer:
The statement is true; recursion in event-controlled processes without proper termination conditions can lead to excessive function calls and a stack overflow error, depleting computer memory.
Step-by-step explanation:
The statement that recursion should not be used with event-controlled processes because the result may be more function calls than the memory of the computer can handle is True.
Recursion involves functions calling themselves, and when dealing with event-controlled processes, if the termination condition is not properly defined or controlled, it could lead to an infinite number of recursive calls. Each call consumes stack memory, and eventually, this can lead to a stack overflow error where the computer runs out of memory to allocate for the function calls. This is especially problematic in languages that do not optimize tail recursion, or when the problem space is large.
However, it is important to note that recursion is a powerful tool in programming and, with proper design and consideration of termination conditions, can be used even in event-controlled processes. But extra care must be taken to ensure that the depth of recursion is within the limits of the system's memory.