If Google were to reliably accede to your request, sure. If it was just a question of filling out a form, sure. But if there's a single hiccup, you're lost. You are completely dependent on Google's goodwill. They have no incentive to destroy records? They don't, but Google has no incentive to comply with individual requests either. Have you tried to reach Google customer service lately? Oh wait, they don't have customer service. Or they sorta kinda do, if you're buying advertising.
But the issue is greater than just Google--the issue is the disposition of digital assets after death. Why should digital assets be treated differently from any other asset? If you think that banks gleefully return money to a decedent's family after death you haven't dealt with this issue much. Having the power to issue court orders tends to enforce the rights of the heirs.
Or you can just hide from those terrible lawyers, mail forms to Google (or e-mail them, everyone knows e-mails always arrive) and hope for the best.
I hope it works out for you.