WHILE the Lancasters were likely not overtly monitoring the Grimaldis, they were undoubtedly keeping tabs on them. However, their surveillance wouldn't be as blatant as shadowing their every move in daily life; such actions would prompt a justifiable complaint to the Emperor from the Grimaldis. Would the cunning Lancasters provide a reason for such a complaint? The unequivocal answer was 'no'.
The Lancasters were probably just monitoring any big movements that the Grimaldis would make. For example, big decisions involving the whole family, or a member leaving the capital.
If Casey headed to Delryria in the Palioxis Galaxy, where Astrid grew up, it would surely catch the Lancasters' attention. Even if Casey tried to keep it low-key, there's no guarantee the Lancasters wouldn't notice. And if they did, they'd definitely wonder why Casey was being sneaky about it, which would make them curious to find out the reason behind it.