Is the Bjursta wall-mounted drop-leaf table sturdy enough to lean on while using it as a desk?
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Kallax with Bjursta Drop Leaf Table
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https://www.ikea.com/us/en/p/bjursta-wall-mounted-drop-leaf-table-brown-black-80217524/?cid=a1:sm%7Ca2:us%7Ca3:appshare%7Ca4:store_app%7Ca5:ios%7Ca6:share%7Ca7:ikeaglobal%7Ccc:216&query=80217524
I want to save space and mount this rather than having an actual desk, but I like to lean my elbows on my desk while I take notes. Will this hold up?
Agree that you want some dry-wall anchors. Just running a screw into drywall has absolutely no holding power - you need to get something with a very coarse thread, or an anchor that goes through the wall and holds it from the rear side.
Whatever you select, look for the load rating, and divide by 4 for the maximum weight of table and its loading. I prefer Toggler metal connectors (these have a 265lb rating in drywall - and I doubt that the table and contents will weigh more than 66lb).
To install these you need a 1/2" drill bit - so you can reuse the holes you've already drilled for the screws that Bjursta'd out.
I expect you want some kind of wall plug. You would take the table down, install the wall plugs (which generally need a bigger hole than screws so your exiting screwholes shouldn't be an issue) and then screw the shelf to the wall plugs.
Here in the UK I would look at something like this, but i'm not sure how american drywall compares to our plasterboard (also not sure if that one is the right size, I generally judge sizes of such things by eye rather than measurements).