If you have an HSA account, then you have a high deductible health plan.

A high deductible health plan (HDHP) is health insurance with a lower premium and a higher deductible than a traditional health plan. Having an HDHP is one of the requirements for a health savings account (HSA). If your current health insurance plan for 2016 has a minimum deductible of $1,300 (or $2,600 for family coverage) with a maximum deductible of $6,550 ($13,100 per family), then it qualifies as an HDHP.

Please view the healthcare website below, if you need more information on this topic.

https://www.healthinsurance.org/glossary/high-deductible-health-plan/

I have the exact same question.  Is there any benefit to checking the "Self only" button on the Turbotax screen "What type of High Deductible Health Plan did you have on December 1, 2019?"

I hesitate to check any buttons unnecessarily as then Turbotax usually branches off into a new path with even more hardly-explained confusing items and terminology.