Our dentist has a "payment plan," with a fixed amount for 2x annual visits, and a percent off their normal fees for any other work. We found that to be comparable to dental insurance, until we switched ACA plans, and lost DS's dental coverage. That juuust tipped the balance to a dental plan.
It will never be on par with medical costs (as a percentage). I think It's telling that they are comparable to the dentist's discount plan.
Do you have your HSA money in stocks investments? There are two ways to think about it, but unless you are saving the money for a specific reason, then
@Exflyboy is right: you just volunteered to pay with after-tax money, instead of pre-tax.
But, congratulations on having a choice, and not paying interest on that emergency! Some people are comfortable having an available line of credit; some aren't. I would reflect on this experience ce, and adjust your reasoned emergency fund (e.g. x-number of months' expenses) to what your gut has told you. (Ack! Not enough!) The whole point of an emergency fund is to let you sleep at night. If you have tried this way and don't like it, then beef it up to include this scenario.
FIL used to work as an executive in an oil services company. Our maximum scenario was something happening to him while traveling, and we would need to drop everything for a next-available flight to Australia or Malaysia, with an indefinite stay. Probably overkill for most, but it was a very real, very specific scenario that also outpaced any more mundane, household-generated emergencies. We slept well.