Why wouldn't I be serious? Don't you think it could be done, and done relatively cheaply?
I don't know how many paths it would release. You could ask that question of all the suggestions made on this thread. How many paths were actually created and used as a result of the Hitchin and Shaftholme flyovers ? These two cost approx. £50m each despite relatively easy land availability, so some of the suggestions on this thread must be into the hundreds of millions each and will never make a business case.
South Kirkby Jn doesn’t seem that busy to me. A maximum of 3/4 trains per hour from the Leeds direction to Sheffield, conflicting with 4 occasionally 5 from Doncaster towards Leeds.
It doesn’t really compare with Woking: 4/5 from Guildford conflicting with 9-11 on the SWML.
In terms of paths, Hitchin released 2 to Cambridge (to be used by Thameslink) and also a long distance path, although that was in conjunction with other work, including Shaftholme. All of these are very high value. Shaftholme also released some freight paths to/from Immingham, just in time for most of the traffic to dry up.
Woking releases 2 paths into Waterloo on its own and enables another 4 when ETCS come along. Windmill Bridge releases at least 2, possibly more, from the Sussex coast to London. All very high value.
I don’t believe that South Kirkby Jn is a critical constraint on capacity now; there are other constraints that are tougher (Marshgate, Leeds station to name but two)
Incidentally, a quick google reveals that the land where such a chord would be built is all a protected wildlife reserve.