If they require "serious" hooks to hang I'd leave them off.

The would-be buyer might also like the painting so much, they ask for it to be included in the sale. It is better to not display anything that you really want to keep, because even if you can say "No", it is preferable to not have that issue come up.

I would judiciously hang just a few pieces to add a bit of color and design. Make sure the pieces you hang read as "neutral art" too. I wouldn't have a full bare wall.

You can hang a few lighter pieces using command hanging tape strips to add interest and color when staging and still keep the walls pristine.

ditto command hooks. Currently on sale at my local Costco

I agree with cpartist abut doing something minimal and innocuous. I rarely see art in other people's homes that I like. While ugly art would not prevent me from buying a house I otherwise liked, a lot of people get distracted by trivial things when they tour a house and you want to not spook these impressionable individuals. Even if you have impeccable taste in art, it might not appeal to some potential buyers.

hang just a few pieces to add a bit of color and design.

So my Rothkos can stay. That's a relief.

As a buyer, I would appreciate a seller who has patched and painted the walls and not hung anything on the walls. Besides, the rooms look bigger with less stuff in them including art.

Everyone else has given you good advice, so I will provide the comic relief. Many years ago, my now-ex and I were looking for a house. Our realtor, Mr. Kent, took us through one that had lots of family portraits everywhere, including down the hall, so when we got to the master bedroom (which had a furry royal blue shag carpet and matching velvet bedspread), & my ex saw the "boudoir" photographic portrait hanging above the bed with a spotlight on it, he recognized the beautiful young lady of the house. He grinned and pointed it out to me. Mr. Kent never noticed it so Mike said, " uh, Mr Kent, does the photo stay with the house?" Poor Mr. Kent! He had been so cool, so professional. He had on a suit and tie and everything...He totally lost his cool, yanked off his glasses, and leaned across the bed for a better look. PS we did not buy that house. It was quite beautiful but every bedroom was a different color (one pink, one lavender-2 daughters in that house) with matching carpet, the game room had indoor outdoor carpet in a checkerboard/badminton/etc pattern; it was just overwhelming