I don't think the wording is any different than the 2014 version. The 2014 version says (paraphrasing the relevant part) "when a creature moves within the area, it takes 2d4 damage for every 5 feet it travels". That sure sounds to me like forced movement is intended to count as moving within the area, especially when they word it as "for every 5 feet it travels" and not "moves". Using the word "travels" heavily implies that forced movement counts.
I would LOVE to be wrong here, but that's my interpretation from the 2014 wording and it doesn't seem like 2024 Spike Growth is different (it's the grappling portion that changed drastically)