This depends on the Asset Cleanup Options you have set up under Configuration\Server Options. If you have enabled the option 'Automatically make non-active assets active when they are rescanned.', assets will be set to active when they are rescanned, which means that they will also be set to active again if they are scanned by LsPush. More information on Cleanup Options in Lansweeper can be found in
this knowledge base article.
If you do not have this option enabled, the asset will remain Non-Active, but will still be updated by the LsPush file you have imported.