Motorola wasn't planning on suing Apple until they got wind of Apple's pending lawsuit against them.
Motorola scrambled and managed to file first so they could set the court venue, instead of Apple being able to do so as usual.
So Motorola got off the first shot, but it was Apple who started the war.
The evidence is quite the opposite: by bidding them up, Google got Apple's consortium to massively overpay for the Nortel patents. In the end, Google paid the same price per patent.
The difference is with what came with those patents, and how they ended up
The Nortel patents came with nothing else, and all of them have ended up being assigned to a new patent troll organization. Not a great investment in the end.
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OTOH, Google's purchase not only got the patents, but also Motorola Mobility, which came with $3 billion in cash reserves AND a cell phone company AND a settop box company AND a top R&D group AND tax write offs.
So $12.5B - $3B cash - $2.4B settop sale - $1B+ in tax writeoffs during ownership - $2.9B sale of phones to Lenovo = total payout of ~$3B for patents... PLUS...
Google kept the Motorola Advanced Technology and Projects Group, which is headed by a former DARPA director. These are the people doing things like tattoo passwords, stomach acid powered diagnostic pills, the Project Ara build-it-yourself smartphone and the Moto360 watch.
It's clear who got the better deal.