Does having a SDIRA make me more likely to be audited by the IRS?

No.

The IRS cannot legally target taxpayers for audits based on the type of investment accounts they have. In 2015, the IRS began asking for additional information on IRA reports in the form of Form 5498. However, because not all investors digitally submit their reports and the IRS cannot presently support manual submissions, targeting SDIRA owners would be considered a discriminatory practice. While this may change in the future, a SDIRA will not trigger an audit.