You can embed a script in your file that will disable the Fields Highlighting whenever it is opened (using an Adobe viewer). However, it will also disable it for other files that are opened on that machine (since it's an app-setting, not a document-setting), so it's a good idea to at least notify the user of this change, or to reverse it when the file is closed.
The basic code that does it is this:
app.runtimeHighlight = false;
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