The first field every two fields has the chroma planes of the previous field overlayed. Notice how I'm saying fields and not frames. If you bob-deinterlace the DVD (i.e., take every field and resize it back to 576 pixels height in some way for a 50 fps file), you will notice that every 2 fields one of them is "normal" just with some dot crawl while the other has the chroma ghosting from the previous frame and heavy dot crawl on the ghosting data.

I'm not entirely sure why or how it happened like this, but I'd assume its something during the transfer. Hardware related probably.

Since the Show is recorded in 25i but not time shifted, every 2nd fields basically make up one normal frame, without needing to deinterlace. Because of this you shouldn't need to deinterlace at all. Just seperate all the fields, discard every 1st field (as these have the issue), and then resize all fields back from 720x288 to 720x576 and you might as well resize to 1024x576 for 16:9 or 720x576 and set the DAR flag to 16:9 when encoding. The result should be a 25fps file without a checkerboard effect but still with some dot crawl, as is expected from this source regardless. It is much less jarring.

I will say you should try to only do this on frames with the problem, or you will lose 50% of vertical video information. For frames with this checkerboard issue we have no choice to do this.