I have found that opening a connection per operation does not substantially degrade performance. I have been running a local Chrome extension for over a year now that involves a ton of indexedDB operations and have analyzed its performance hundreds of times and have never witnessed opening a connection as a bottleneck. The bottlenecks come in doing things like not using an index properly or storing large blobs.
Basically, do not base your decision here on performance. It really isn't the issue in terms of connecting.
The issue is really the ergonomics of your code, how much you are fighting against the APIs, and how intuitive your code feels when you look at it, how understable you think the code is, how welcoming is it to fresh eyes (your own a month later, or someone else). This is very notable when dealing with the blocking issue, which is indirectly dealing with application modality.
My personal opinion is that if you are comfortable with writing async Javascript, use whatever method you prefer. If you struggle with async code, choosing to always open the connection will tend to avoid any issues. I would never recommend using a single global page-lifetime variable to someone who is newer to async code. You are also leaving the variable there for the lifetime of the page. On the other hand, if you find async trivial, and find the global db variable more amenable, by all means use it.
Edit - based on your comment I thought I would share some pseudocode of my personal preference:
function connect(name, version) {
return new Promise((resolve, reject) => {
const request = indexedDB.open(name, version);
request.onupgradeneeded = onupgradeneeded;
request.onsuccess = () => resolve(request.result);
request.onerror = () => reject(request.error);
request.onblocked = () => console.warn('pending till unblocked');
});
}
async foo(bar) {
let conn;
try {
conn = await connect(DBNAME, DBVERSION);
await storeBar(conn, bar);
} finally {
if(conn)
conn.close();
}
}
function storeBar(conn, bar) {
return new Promise((resolve, reject) => {
const tx = conn.transaction('store');
const store = tx.objectStore('store');
const request = store.put(bar);
request.onsuccess = () => resolve(request.result);
request.onerror = () => reject(request.error);
});
}
With async/await, there isn't too much friction in having the extra conn = await connect()
line in your operational functions.