I never used Ledger Live, only when it was initial setup for Bitcoin. Otherwise I only work with Electrum. That way, I don't even know if it has updates or not pending in the past.
That isn't good either. Not because you aren't using Ledger Live, but because you are using an outdated Bitcoin application on your Ledger HW. It might have bugs or vulnerabilities that you aren't protected from. The newer versions could have stability and speed improvements you can't benefit from. You will also not be able to take advantage of things like Taproot in the future unless you update your Ledger bitcoin app.