No. But if TOCs/DfT/NR/Government are so confident that a service is not used, then follow the law and close the station/line properly.
I agree
It's not like consultations can't be largely ignored and actions carried out regardless of the result. It seems to me that everyone says "the process is so costly it's not worth doing" but I can't imagine that placing a few adverts in a few newspapers, hiring a village hall or two for a few events, and employing someone for a few weeks to write a report (because that's essentially all you need to do if you're going to ignore the result anyway) is more expensive than keeping (say) Denton and Reddish South stations maintained, the drivers' route knowledge maintained, and scheduling the drivers and rolling stock every week, for the last 31 years?
The issue with the cost is that Keeping a station open if the line isn't under threat doesn't actually cost very much at all. The public consultation is a bit more involved than you describe, and importantly as the closure process is a legal process it potentially involves lawyers, especially if people appeal the decision. A Judicial Review is very expensive to fight.
If the line itself would be closed as part of closing the station, then you have to factor in the cost of the possessions and signalling alterations to remove the junction (or accept the maintenance burden until such a time as you'd normally renew/relay it).
Having said that, there's a fundamental question here: Does the railway line actually serve a transport need other than 'to have a railway station'?
Brigg's nearest big town is Scunthorpe, which it does not have a rail link to and a bus will beat the connection at Barnetby handily. The town itself is quite small, and Kirton Lindsey is even smaller. Freight on this line from Immingham could only run to Doncaster or Sheffield, which it can already do via Scunthorpe, and Immingham has a secondary route via Market Rasen. Grimsby and Cleethorpes passengers are going to be much better served by changing in Doncaster or Lincoln. Where do the 5,000 good folk of Brigg actually want to go, and is the available rail network able to serve that?