Well, in my old gym there was this Muay Thai guy. He'd trained for about 3 years, including a stint in Thailand (he was pretty traditional in terms of style). Whenever I sparred with him, he stood pretty statically (typical MT) and had good kicks and very weak hands.
If I tried to kick he'd catch it and and counter right away. However, when I shortened the distance (he was taller) by slipping his very predictable jab and started going off on him with punches, he just stood there covering up. His liver was open, uppercuts were going in between his hands, and he still stood there :/ no defensive action other than covering up, no retreating, nothing.
He's a good guy. I felt sad when he went to an ammie fight and got mauled by a shorter boxer much how like I did in training.
My point is, while there are many useful aspects of MT, weak punching game and lax footwork are not among them. You can't just stay there and take shots like Thais would. That's why I favor Dutch kickboxing over traditional MT.