I think exempting is probably a bad idea, but tax deferrals like the one Texas has [0] are a good way to ameliorate this, :
```
Texans may postpone paying current and delinquent property taxes on their homes by
signing a tax deferral affidavit at the (NAME) County Appraisal District office if they are:
• age 65 or older;
• disabled as defined by law
• qualified disabled veterans, their unmarried surviving spouses, or their unmarried children under age 18, if no surviving spouse; or
• unmarried surviving spouses of U.S. armed service members killed on active duty and their unmarried children under age 18.
Once the affidavit is on file, taxes are deferred — but not cancelled — as long as the
owner continues to own and live in the home. Taxes accumulate with 5 percent interest
per year. The law extends the tax deferral to the surviving spouse of the person who
deferred taxes on the homestead if the surviving spouse was at least 55 years old when
the deceased spouse died.
```
[0] https://comptroller.texas.gov/taxes/property-tax/docs/deferr...