I know that 1923 25c shinplasters were often cut off centre.I don't collect shinplasters but I have seen my fair share & you're right, they're often cut off centre (or just poorly cut). Low production QC I would imagine.
No shinplaster is worth getting professionally graded, IMHO.
What are the dimensions of these notes supposed to be? Would it be worth measuring if they were cut by hand?
I hadn't realized how badly off centre it was cut. Why would someone do it that way if they trimmed it? I wonder...
In any case, all notes that become altered lose their value rather than increase their value (as stated earlier).