Are these both the same basis (cash vs accrual).  I have yet to see a conversion back to desktop not need some adjustments

Resolution for 'conversion back issue: 'Account balances not the same as desktop' available: Yes.

The conversion back issue or error code is a known issue in Quickbooks Online (QBO) and/or Quickbooks. Support for this issue is available either by self-service or paid support options. Experts are available to resolve your Quickbooks issue to ensure minimal downtime and continue running your business. First try to resolve the conversion back issue yourself by looking for a resolution described in the article. If it is a complex conversion back issue or you are unable to solve the issue, you may contact us by clicking here or by using other conversion back support options.

For more information about resolving issues related to conversion back in Quickbooks/QBO or to get support for the issue 'Account balances not the same as desktop', click the link below: