YES

(format LCTRS :logic QF_LIA)
(fun badfib 1 :sort (Int Unit))
(fun return 1 :sort (Int Unit))
(fun w 2 :sort (Unit Unit Unit))

(rule (badfib x_0) (w (badfib (- x_0 1)) (badfib (- x_0 2))) :guard (> x_0 3) :vars ((x_0 Int)))
(rule (badfib x_1) (return 1) :guard (<= x_1 3) :vars ((x_1 Int)))
(rule (w (return x_2) (return y_3)) (return (+ x_2 y_3)) :vars ((x_2 Int) (y_3 Int)))

Confluent by Almost Parallel Closedness with proof:
no critical pairs

Elapsed Time:  19.46 ms