Polyethylene and the like is not near as strong as delrin and would flex where delrin would not. Delrin can be machined and threaded where polyethylene cannot either. Definitely no where near the same ball park. Delrin actually has characteristics the resemble metals more than plastics. I have worked with both.
I'd agree with TexasSP, Delrin is much stiffer and has better characteristics for making RC parts, although cutting board may be just fine for your application, it really depends on your budget and what you're making really.