He just doesn't want to give up anything at all

It would show weakness.

In the filing, in the United States District Court for the District of Columbia, John Laster, the director of the National Archives’ presidential materials division, laid out for the first time exactly which documents Mr. Trump was asserting executive privilege over. The former president is hoping to prevent the documents from being reviewed by the House committee empowered to investigate the mob violence at the Capitol.

[...]

Trump has asserted executive privilege specifically over 770 pages of documents, including 46 pages of records from the files of Mark Meadows, his former chief of staff; Stephen Miller, his former senior adviser; and Patrick Philbin, his former deputy counsel. Mr. Trump is also objecting to the release of the White House Daily Diary — a record of the president’s movements, phone calls, trips, briefings, meetings and activities — as well as logs showing phone calls to the president and to Vice President Mike Pence concerning Jan. 6, Mr. Laster wrote.

Mr. Trump has also asserted executive privilege over 656 pages that include proposed talking points for Kayleigh McEnany, his former press secretary; a handwritten note concerning Jan. 6; a draft text of a presidential speech for the “Save America” rally that preceded the mob attack; and a draft executive order on the topic of election integrity, the filing states.

  NYT

I really want to see that draft. If Trump - or Stephen Miller - had a hand in writing it, it could say extreme things his lawyers told him not to in the final speech. Wouldn't be the first time.

Trump asserted executive privilege over 68 additional pages, including a draft proclamation honoring the Capitol Police and two officers who died after the riot, Brian D. Sicknick and Howard Liebengood, as well as related emails; a memo about a potential lawsuit against several states that Joseph R. Biden Jr. won in the November election; an email chain from a state official regarding election-related issues; and talking points on alleged election irregularities in one Michigan county.

[...]

[A] lawyer for Mr. Trump argued that the materials must remain secret as a matter of executive privilege. The lawyer said the Constitution gave the former president the right to demand their confidentiality even though he was no longer in office — and even though President Biden has refused to assert executive privilege over them.

We think he's wrong about that, since the idea of privilege is attached to the office and not the individual, but may be able to successfully argue it.

On the other hand, I don't know what all will qualify as privileged - or would if he were still president - but I'm pretty darn sure telephone and visitor logs don't. Under privilege you might not be able to know WHAT they were talking about, but you certainly can't be barred from knowing they talked.

Its outcome will carry consequences for how much the panel can uncover about Mr. Trump’s role in the riot, pose thorny questions for the Biden administration and potentially forge new precedents about presidential prerogatives and the separation of powers.

...but hey, do what you want...you will anyway.