QB Issue Resolution:

you lose a lot of function downgrading from enterprise to QBO, are you aware of that?

no group items, no previous reconciliation reports transfer, no memorized reports transfer, no templates transfer, sales tax groups do not transfer, inventory transfers as a mess and requires some time adjusting things to get it right (QBO+ only), only one sales tax agency transfers

there are no price level lists, progress invoicing, job tracking, and the US version does not have multi currency

Resolution for Issue 'Can you import data from enterprise version of QuickBooks?' available: Yes (Solved).
Source: Intuit Community forum.

Can you import data from enterprise version of QuickBooks?: this 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 issue yourself by looking for a resolution described below. If it is a complex issue or you are unable to solve the issue, you may contact us by clicking here or by using other support options.

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