Since your fingerprint is going to be primarily based off your user agent, if I was running this in the wild I'd only check for presence of a handful of extensions and I'd ignore their version entirely. I'd just be looking for a couple bits more information to add to standard browser fingerprinting techniques.

For most advertising purposes, you don't need to track a user for that long anyway. Conversion tracking, view-through attribution, frequency capping, retargeting, interest-based behavioral targeting... sure, businesses would ideally prefer that the unique identifier last for thirty days, but 'every other week' would capture the bulk of the benefit.

A truly shady business could rely primarily on cookies, local storage, etc. but use browser fingerprinting only to repopulate user IDs after data deletion. Incorporating extensions into the fingerprinting could make this technique a lot more effective.