Tampermonkey script which changes Jira ticket 'lozenges' to more accurately relay the state of the ticket based on the states of the subtasks. You may need to change the match or the text filters depending on your project set-up.

Jira Swimlane Status Helper.js

// ==UserScript==
// @name         Jira Swimlane Status Helper
// @namespace    http://tampermonkey.net/
// @version      1.0.0
// @description  Change text and colour of Jira 'lozenges' on the Rapid Board to more accurately reflect the state of each ticket
// @author       Luke Pothier <[email protected]>
// @match        https://*.atlassian.net/jira*
// @grant        none
// ==/UserScript==

(function() {
    'use strict';

    setInterval(() => {
        let headerElements = document.getElementsByClassName('ghx-column-header-flex-1');

        let headers = [];

        for (let i = 0; i < headerElements.length; i++)
        {
            headers.push(headerElements[i].textContent.trim());
        }

        let pool = document.getElementById('ghx-pool');
        let tickets = pool.querySelectorAll('div.ghx-swimlane');

        let dict = {}
        for (let i = 0; i < tickets.length; i++) {
            let headerContainer = tickets[i].querySelector('div.ghx-swimlane-header').querySelector('.ghx-parent-key');
            let lozenge = tickets[i].querySelector('span.jira-issue-status-lozenge');

            if (!headerContainer || !lozenge) { break; }

            let key = headerContainer.textContent.trim();
            let columnsContainer = tickets[i].querySelector('ul.ghx-columns');
            let lanes = columnsContainer.childNodes;

            dict[key] = [];

            for (let j = 0; j < lanes.length; j++)
            {
                let count = lanes[j].querySelector('div.ghx-wrap-issue').childNodes.length;
                if (count > 0) {
                    dict[key].push(headers[j]);
                }
            }

            if (dict[key].includes('In Progress')) {
                updateLozenge(lozenge, 'In Progress', '#0D47A1', '#90CAF9');
            } else if (dict[key].includes('To Do')) {
                if (dict[key].length === 1) {
                    updateLozenge(lozenge, 'To Do', '#424242', '#E0E0E0');
                } else {
                    // When some tasks are To Do and others aren't, the ticket is In Progress
                    updateLozenge(lozenge, 'In Progress', '#0D47A1', '#90CAF9');
                }
            } else if (dict[key].includes('In Review')) {
                updateLozenge(lozenge, 'In Review', '#6A1B9A', '#CE93D8');
            } else if (dict[key].includes('Blocked')) {
                updateLozenge(lozenge, 'Blocked', '#D50000', '#EF9A9A');
            } else if (dict[key].includes('Done')) {
                updateLozenge(lozenge, 'Done', '#1B5E20', '#00C853');
            }
        }
    }, 2000);
})();

function updateLozenge(lozenge, text, dark, light) {
    lozenge.textContent = text;
    lozenge.setAttribute('data-tooltip', '<span class=&quot;jira-issue-status-tooltip-title&quot;>' + text.toUpperCase() + '</span>');
    lozenge.style.color = dark;
    lozenge.style.borderColor = dark;
    lozenge.style.backgroundColor = light;
}