Hello Marc, I had just found a similar question this morning and was going to direct you to the answer, but now I cannot find it.
The crux of the answer involved leveraging an add-on called JTricks. I believe it can provide the result you seek.
That's because it's not really a field.
Links are a collection of logical pointers to other issues or places, they aren't really field data, and you need to use search "functions" to get at them. Have a look through https://confluence.atlassian.com/display/JIRA/Advanced+Searching+Functions
Because there's a display for them - it just renders what it finds in the links data in a friendly format - the data behind them is a bit more complex (it's actually a directional pointer and a type, with source and target, most;y looks like numbers!)
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