Only during the purchase opf a business would you use an estimated or appraised vaue for an asset on a balance sheet. If the asset has been fuy depreciated its current vaue would be zero anyway.

If you are using Fixed Asset Manager it is integrated with QB desktop but not automatic - you have to tell FANM to post to QB, this might be the problem. (you could use FAM simply for tracking and computing depreciation yet not have it share data with QB) https://community.intuit.com/articles/1553734-accomplish-different-tasks-in-fixed-asset-manager-fam

If you are not using FAM or are using QBO instead of desktop any asset you create in your Chart of Accounts wiul appear in your balance sheet - uness it is zero and your report excludes zero entries (changed in customize or filtering)