His argument is a red herring and complete BS, promoted by the pro-Trump media which he apparently laps up.Here is a story noting that NARA has cleared 14,000 documents for use by the Obama library through the Freedom of Information Act. If Obama has the documents, why are his lawyers bothering to file FOIA requests?
As recently as June 2022, the archives notified Obama’s lawyers that it had cleared the release of about 14,000 items requested through the Freedom of Information Act.
Why Trump is wrong to suggest Obama personally kept ‘33 million pages of documents’ - Poynter
The National Archive digitized Obama’s presidential records and sent them to a facility in College Park, Maryland.www.poynter.org
And from that, to further your point:
The agency said about 30 million pages of unclassified records went to a National Archives facility in the Chicago area. Classified Obama presidential records are in a facility in the Washington, D.C., area.
Bottom line - - Obama complied with the law. Trump likely didn't.
Obama didn’t keep millions of classified White House documents
Amid mounting revelations surrounding the FBI’s search of former President Donald Trump’s Mar-a-Lago estate, a counternarrative pushed online — including by Trump himself — posits that Obama similarly kept possession of White House documents after his term of office.
apnews.com