While an assumption, it is possible Page learned from Job, in which case Google should have another competitor they should thank. The important lesson is that Page & comp were not too proud not to learn from others, especially from their successful competitors. Jobs himself learned a lot while taking some time off and had enough humility to turn things over to Tim Cook when he did not have the physical energy to perform at his own standard.
Is Microsoft viewed as "the" innovative company or even "an" innovative company? They're playing more catch-up now, even though they have the knowledge inside to actually impress. There are lies, damn lies and quarterly earning reports.