Yes and no.. it would completely depend on how they did it.. If it was a no support model for software only, then you'd still see many, many people buy the 'supported' version with the hardware.. Since the cost of support is basically what you're paying extra for.
Also, Enterprise level hardware (rack systems) IT generally is not DIY. They'd likely still sell many enterprise systems regardless as well as extended support contracts.. So it wouldn't be a cut/n/dry situation if they did sell it for a low cost.
In the end, if they did a low-cost, or even free version, w/no support, you'd see Synology's 'beta test / bug test' group suddenly expand greatly AND they'd likely 'entice' people who otherwise would not have outright bought a synology box by giving a 'try before you buy' type scenario.