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The patent office doesn't do much background checking.That's not correct. By law, for every patent application, the patent examiner is supposed to conduct a thorough search of the prior art; some patent examiners have long experience in their "art units." [0]
Also by law: Inventors must disclose, to the patent examiner, all information of which they are aware that is "material to patentability." [1]
Well-trained patent attorneys take the view that it's far better to tell the patent examiner about everything you can think of that might be significant. Doing so helps to strengthen any resulting patent against infringers' claims that the invention would have been obvious.
Think about how an infringement lawsuit will often go down: The accused infringer will generally try to claim that the patent is invalid because of one or more particular prior-art references. When that happens, one of the best possible responses, by the patent owner's trial counsel, is, in effect, Oh yeah? Well, ladies and gentlemen [of the jury], the patent examiner already considered those references, and s/he concluded that the invention was indeed patentable, so whom are you going to believe — the patent examiner, or the infringer who stole my client's invention?)
As a more-or-less random example, see a 2017 patent issued to IBM, where the cited prior art included 32 prior patents and 3 non-patent publications — all cited by the inventors. [2]
[0] https://www.uspto.gov/web/offices/pac/mpep/s2103.html
[1] https://www.law.cornell.edu/cfr/text/37/1.56
[2] Dixit et al., "Performing sequence analysis as a relational join," U.S. Patent No. 9,589,018, https://patents.google.com/patent/US9589018B2/en?oq=9%2c589%...