Two reasonable orders for different goals
Consider a session with a press, a row, and an arm exercise. Someone practicing a particular press may place it first. Someone whose main goal is a specific arm exercise may give that movement the freshest part of the session instead. The tradeoff is that fatigue from the arm work can affect later pressing or pulling.
That is a programming decision, not evidence that either person arranged the workout incorrectly.
Compare like with like in your log
If you move an exercise from first to last, a lower repetition count may reflect the preceding work. It does not necessarily mean you lost strength. Note the changed order before interpreting the number.
Research on exercise order and pre-exhaustion does not justify assuming that making a muscle tired first will automatically improve its eventual adaptation. Feeling the later exercise more strongly is not a direct measure of muscle growth.
When the gym decides for you
Equipment availability can require a different order. One practical compromise is to keep the main priority consistent when possible and allow the remaining exercises to move. If every change becomes a new comparison condition, judge progress across comparable sessions rather than against one rigid sequence.
