This is what's so bizarre about it. They want a train service. So why risk that train service (and huge costs) over a few quid you could charge to Network Rail for access, when in all likelihood if such a charge was found to be legal (and it very much seems like it isn't, but if it was) then NR would presumably just close the station as the tiny usage would render it not worth it?
It would make a bit of sense if their aim was closure, but it isn't?
They have to be careful when trying to obtain that few quid from Network Rail. You can easily blow your chances.
I was reading about a few cases of NR needing access over private land to perform maintenance, and apparently the negotiations usually go this this:
NR: We need access to your land for the next 3 weeks to access the trackside, and we propose to give you £50 a day.
Landowner: No chance! I want £10k otherwise I won't let you anywhere near my land. Pay up or get lost.
NR: OK then, we will just take you to court for access and get it for free, then you'll get nothing.
Landowner: Wait! I'll let you have access for £1000!
NR: You have a deal, as thats cheaper than our legal fees would be.
Essentially, if you be silly with your demands or try to hold them to ransom, they will just ask a court to permit them access and you might not see a penny. If you are reasonable, then you might get a few quid out of them as paying the landowner a small sum saves them time and money over a trip to court.