BA always uses an airbridge at Lyon, which is a mercy compared to the punishment gates used by EasyJet at the end of an interminable walk.
However, that won’t help you through passport control, which at Lyon can be anything from a breeze to a nightmare, or security where I’ve never waited too long but fast track is permanently closed off. If you want priority treatment at security, bring a child … your entire party will be escorted straight to the front of the queue.