At this point I've already fixed it in production by stripping out the URL parameters, so since I can't export JSON for any previous releases from the "Releases and history" modal, I could only do that by breaking the app again for our users.
However, it's easy to whip up a minimal reproduction of weird interaction issues with URL params that totally break a segmented control. See the JSON included here for an example.
{"uuid":"1967d482-96a3-11ec-ac55-7f3d34c44568","page":{"id":60077258,"data":{"appState":"[\"~#iR\",[\"^ \",\"n\",\"appTemplate\",\"v\",[\"^ \",\"isFetching\",false,\"plugins\",[\"~#iOM\",[\"segmentedControlThing\",[\"^0\",[\"^ \",\"n\",\"pluginTemplate\",\"v\",[\"^ \",\"id\",\"segmentedControlThing\",\"type\",\"widget\",\"subtype\",\"SegmentedControlWidget\",\"resourceName\",null,\"resourceDisplayName\",null,\"template\",[\"^3\",[\"_disabledByIndex\",[\"~#iL\",[\"\",\"\"]],\"_values\",[\"^9\",[\"left\",\"right\"]],\"iconByIndex\",[],\"values\",[],\"_iconByIndex\",[\"^9\",[\"\",\"\"]],\"hidden\",false,\"customValidation\",\"\",\"data\",[],\"hideValidationMessage\",false,\"selectedItem\",null,\"validationMessage\",\"\",\"showInEditor\",false,\"tooltipText\",\"\",\"labelAlign\",\"left\",\"formDataKey\",\"{{ self.id }}\",\"value\",\"null\",\"labelCaption\",\"\",\"labelWidth\",\"33\",\"deprecatedLabels\",[],\"label\",\"Mode\",\"_hasMigratedNestedItems\",true,\"_validate\",false,\"itemMode\",\"static\",\"labelWidthUnit\",\"%\",\"invalid\",false,\"selectedIndex\",null,\"selectedLabel\",\"\",\"events\",[\"^3\",[]],\"_ids\",[\"^9\",[\"7114b\",\"21d6d\"]],\"iconPositionByIndex\",[],\"_iconPositionByIndex\",[\"^9\",[\"\",\"\"]],\"disabled\",false,\"labelPosition\",\"left\",\"_labels\",[\"^9\",[\"Left\",\"Right\"]],\"labelWrap\",false,\"disabledByIndex\",[],\"maintainSpaceWhenHidden\",false,\"required\",false,\"labels\",[]]],\"style\",[\"^3\",[]],\"position2\",[\"^0\",[\"^ \",\"n\",\"position2\",\"v\",[\"^ \",\"container\",\"\",\"rowGroup\",\"body\",\"subcontainer\",\"header\",\"row\",0,\"col\",0,\"height\",0.8,\"width\",12,\"tabNum\",0]]],\"mobilePosition2\",null,\"mobileAppPosition\",null,\"tabIndex\",null,\"createdAt\",\"~m1645838785538\",\"updatedAt\",\"~m1645838937559\",\"^<\",\"\",\"folder\",\"\",\"screen\",null]]]]],\"^E\",null,\"version\",\"2.86.7\",\"appThemeId\",null,\"preloadedAppJavaScript\",null,\"preloadedAppJSLinks\",[],\"appStyles\",\"\",\"testEntities\",[],\"tests\",[],\"responsiveLayoutDisabled\",false,\"loadingIndicatorsDisabled\",false,\"urlFragmentDefinitions\",[\"^9\",[[\"^3\",[\"name\",\"mode\",\"value\",\"{{ segmentedControlThing.value }}\"]]]],\"pageLoadValueOverrides\",[\"^9\",[[\"^3\",[\"name\",\"segmentedControlThing.value\",\"value\",\"{{ urlparams.hash.mode }}\"]]]],\"isGlobalWidget\",false,\"isMobileApp\",false,\"multiScreenMobileApp\",false,\"instrumentationEnabled\",false,\"customDocumentTitleEnabled\",false,\"customDocumentTitle\",\"\",\"customShortcuts\",[],\"folders\",[\"^9\",[]],\"markdownLinkBehavior\",\"auto\",\"inAppRetoolPillAppearance\",\"NO_OVERRIDE\",\"rootScreen\",null]]]"},"changesRecord":[{"type":"PAGE_LOAD_VALUE_OVERRIDE_UPDATE"}],"gitSha":null,"checksum":null,"createdAt":"2022-02-26T01:32:30.541Z","updatedAt":"2022-02-26T01:32:30.541Z","pageId":932013,"userId":189193,"branchId":null},"modules":{}}