How would you normally say? I noticed that whenever somebody asks a question with any in from (eg. any details/detail; any recommendations/recommendation) they tend to use either the singular or the plural form of the noun.
Are there any updates for this application? (You haven't checked in six months. There may be three or five updates waiting for you to download.
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Are there any updates for this application? (You haven't checked in six months. There may be three or five updates waiting for you to download. You don't know how many.)
Is there any update for this application? (You checked for updates 5 minutes ago, and there were none. You expect the answer to be No (none) or Yes (exactly one).