Heya guys

I'm a bit confused regarding the different sources that grant me backlink report on my competitors, for example market samurai uses "Majestic Seo" as a banklink source but also has a "PR Analysis", and SEO spyglass uses different search engines except google..so what I'm trying to ask is really:
** should I care about other sources' backlinks other than google's? that is if my only purpose is to rank high on google's serp... like why should I care about Majestic Seo banklink report if it's different than google's

can anyone shed light on what I'm missing here?

Thank you