It isn’t pixel bitching.
Encouraging the DM to be economical with their description and the player to be attentive to it are advantages of this approach.
“I thoroughly search the dresser” is plenty of detail. Remember, reasonable specificity is all that’s needed.
And that’s a reasonably specific statement of your goal.
With one simple sentence: “I thoroughly search the dresser for anything useful or valuable,” you’ve clearly communicated a goal and approach with a reasonable degree of specificity. I would have enough information there to resolve that action.
Cool. Glad that works for you.
To paraphrase Gygax, the players are making believe they are the characters. Accordingly, my preference is that they make decisions as their characters would, which includes where and how to search and for what. If your preference is to abstract that process into a single check with varying degrees of thoroughness, great! I hope you and your players have fun doing it that way.
Looking out at the room I'm in, I'm sitting at a table with a pile of papers, there's a puzzle box, another large flat square box and what looks to be a notebook on some kind of stand. To one side of the room there are chairs in a circle, a curio cabinet filled with knick-knacks, and a circle of chairs with a table in the middle. The table has two layers with various books, papers and miscellaneous items on it. Between the chairs are small end tables with drawers. Along one wall is a kitchen with ... well you get the idea.
So how do I describe where I'm searching? Do I have to start with the kitchen table? With the pile of papers? The notebook? The puzzle box or the large square box (it holds puzzles in progress because cats). That's just the kitchen table. Do I describe searching each of the 4 end tables? The curio cabinet? The table? All the pictures on the wall? Oh, did I forget to mention those, what about the clock on the mantle?
Okay that was exciting. But wait! I haven't even gotten started on the kitchen, what do you mean you don't search the freezer I forgot to mention?
I see no value in saying "I'm searching the dresser". If there's a dresser in the room and I'm doing a thorough search, of course I'll search the dresser. I don't see why going through a checklist of every object and potential hiding place described adds any value.
I mean, you do you. I'd rather give the players an overview, get a general idea of their approach and then focus in on things that matter. So I'd describe a cluttered great room with kitchen table, chairs around a table, a kitchen. If doing a quick search being careful not to disturb anything you'll notice something laying out. Maybe with a decent perception check you'll notice the trap door in the floor for the electrical outlets. If doing a thorough search, it's going to take a while because it's a big room with a lot of potential hiding places. But then I'll do a mini "skill challenge" that focuses on searching the couch cushions with a chance to notice the hidden trap and so on. Basically give flavor for the room, but only focus on details and actions that matter.
Unless your PCs only ever have to search small barren rooms, specifying exactly what their search and how would be tedious at best, boring at worst for me.
P.S. Just to be clear: I'm not the messy one but I've given up.