But with the original question – camcorder or a decent DSLR that is recommended for video. Seem to recall Sony Alphas are good.
This is, in part, a trickle-down effect from professional users. Sony have the best (XDCAM, which is a variation on the AVID MXF format) codec’s, and they stopped selling the chips that could encode them to anyone else 10+ years ago because everyone just bought a nanoflash recorder and strapped it to the back of their existing camera for a fraction of whatever XDCAM Sony was selling at the time. You won’t be recording at 50Mbit, and won’t be imported into an AVID workflow, so it’s mostly irrelevant.
It’s mostly a lense issue though. A photography lense is designed to offer the sharpest image above all other criteria because it’s sat in front of a 10+ megapixel sensor and people will pixlepeep at it.
A film/cine lense is designed to sit in front of a HD sensor (2 megapixles), and the result isn’t viewed the same way, so you have a lot more leeway. The quality of the glass is likely the same as a stills lens at the same at any price point, but you have constraints like the focus absolutely cannot breathe (the field of view can’t change), and the focus has to track with the zoom so when the subject is in focus and you zoom in, they stay in focus.
Obviously, there’s a huge range of lenses available, but that’s the broad extremes. And you’re not looking at buying separate cine lenses. Bu for filming sport you’re probably going to want something that sits at the video end as it will make your life easier, and a camcorder will have been designed around that set of compromises for that use.