"a Distribution Reversal Form for that amount to my HSA administrator, such that I send them a check of $1100 back, and then file another Excess Contribution Removal form after that to withdraw that money back to myself. Will this process correct everything and avoid the need for any future under-contribution adjustment or other taxation paperwork?"
This is overkill. Yes, as Raif said, you will carry forward an excess contribution of $1,100 into the indefinite future; however, since, as noted, your HSA balance will be zero, the penalty will also be zero every year.
Suppose some day you get HDHP coverage. The simple way to deal with this is to under contribute by $1,100 the first year of your HDHP coverage. The excess will be used up, and that will be the end of it.
Since you don't know if you will ever have HDHP coverage again, this seems like a better way to go than to incur transaction fees at your HSA for declaring a mistaken distribution (which the HSA custodian does not have to honor), then declaring a excess contribution - all of which you have to do by April 18, 2022, by the way (or by October 15, 2022 if you file for an extension.
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