Yes, you are correct, Category = Equity, Detail type = Owners Equity, Name = Owners Equity Draw?

there is no such thing as a contra type account, contra refers to how the account is used

I recommend you have the following for owner/partner equity accounts  (one set for each partner if a […]

Resolution for 'CategoryEquity issue: 'Owners equity draw.' available: Yes.

The CategoryEquity 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 CategoryEquity issue yourself by looking for a resolution described in the article. If it is a complex CategoryEquity issue or you are unable to solve the issue, you may contact us by clicking here or by using other CategoryEquity support options.

For more information about resolving issues related to CategoryEquity in Quickbooks/QBO or to get support for the issue 'Owners equity draw.', click the link below: