QB Issue Resolution:

If you install QB on a different or the same computer, yes – it will install the full version of QB.

Resolution for Issue 'I am uninstalling quick books on a computer that is being eliminated. Will that uninstall my whole subscription?' available: Yes (Solved).
Source: Intuit Community forum.

I am uninstalling quick books on a computer that is being eliminated. Will that uninstall my whole subscription?: 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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