The polystyrene itself should be stable under normal environments. A few solvents, such as chloroform or toluene, will dissolve it...but if that's happening in your tank there are going to be bigger issues.
There may not be any difference in paint/treatments between aquarium and terrarium use, other than the designs they use. The biggest treatment terrarium stuff gets is antifungal compounds on driftwood, and I don't see why they'd have to do that with a background. But the paint/dye may not be stable underwater long term, so I think the safest advice would be to get one specifically labeled for aquariums as mentioned.
Personally I think I'd try to call the manufacturer, often there's a phone number listed on the package for questions or comments. It may take a lot of being forwarded randomly to people who have no idea, but if you can get a straight answer from them you may be able to use it without worries
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Prudence is a rich, ugly old maid courted by Incapacity.
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Blake
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