Worriedfather
Unfortunately you desire for a stronger set of statements in your land title is unlikely to be possible under the way the Land Registry (LR) operates. The terminology that you say appears is that used by the LR when a valid and acceptable Statutory Declaration has been registered with them, but where the ownership of the land cannot be verified over which the right of way is being claimed. This is because the LR has to be able to contact the owner of the land, and they cannot do this if the ownership of the land comprising the lane is not established. There are many hundreds of miles of lanes across the country in a similar situation to yours.
The right that you (as dominant landowner) have claimed is by prescription, that is using the Prescription Act 1832. The requirement to demonstrate in law for this to be successful is for a repeated use of the RoW over the sevient landowner's land, openly, and for a minimum of 20 years of use (not 25 years), and without permission of the servient landowner.
I suggest that you challenge this company to demonstrate they do own it; I don't reckon that they do.