I can have things that get "put away" i.e. in a container/cabinet/drawer/room IF that container will be something that I open and access at least every other day. Otherwise, things that get put away out of sight are GONE until I accidentally stumble across them years later.
Limited exception: if there is a tool or device or something that is so uniquely suited for a task that when presented with a task where it would be useful I will immediately think of the tool—and thus remember that I have it—I can safely store it away, as long as the place I'll put it is the first place that I'd look for it.
Articles of clothing---chests of drawers are an issue for that, and sometimes closets, so most of my clothes are out on open shelving that I think was designed as bookshelves
Kitchen bowls/pans/etc (though one of the Exception items is a really cool apple corer-peeler-slicer thing that can be in the back of a cabinet for months but I'll never forget it during apple-baking season)
FOOD IN THE FRIDGE is the worst (food in the pantry not much better)
Flavours of liquor, if I don't have them all out in the open on the bar-buffet
Oh hey let me look in the drawers of my desk RIGHT NOW and list semi-useful stuff I forgot was there:
Whiteboard markers
Business envelopes
A backup hard drive
Most of a ream of printer paper
A pair of thin knit gloves that I've used in the past to type when the room was cold but I haven't seen or thought about in years
A small wad of foreign money from two trips ago that actually would have been useful on my last trip abroad
A supply of staples
...that's not an exhaustive list. And it'd be longer, except three of the eight drawers are empty because I try not to keep stuff in drawers, because I'll forget about them.
You need to have a system; so it's not exactly "remembering" where you put things, but deducing where an items ought to be and going there to find it. It's similar to people who put all files on the desktop vs organizing files into a hierarchy of folders.
A hierarchy of folders is great for hierarchical data like
Accounts>2020>July>july_20.xlsx
For other stuff is a nightmare because it often could be in 2 places. Maybe you have a folder for <bosses_name> and one for HR...now your boss asks you for that hr thing he asked you to do 2 years ago, where is it?
I give my non-hierarchical files filenames with as much meta data as possible, and stick them all in one folder. Search does the rest.
I save my temporary files in my downloads folder. Now and again I delete stuff from a year or so ago.
There is "putting things back where they belong so you they don't clutter and you know where they are next time you need them" and "put things out of the way in a random place so that they are effectively lost".
Then there is me looking for something for half an hour or more then finally finding it exactly where it was supposed to be.
> "put things out of the way in a random place so that they are effectively lost".
Ah, the 'housekeeper strategy.'
The BEST thing about the $600 a month we spend having weekly housekeeping is that it brutally forces us to put shit at least SORT OF "away" in a frenzy every Sunday night. Because if we don't, the housekeepers will stuff it into the a random drawer or cupboard, or throw it away, or otherwise stack it in a random place. So at least if WE do it, we'll have an idea where we would have put it when we're looking for it.
This isn't the wrong choice by the way -- I mean, they couldn't clean if they had to respect the random spot where they find each little item.
When I hide things I just forget that I have half of them almost immediately. Let alone remembering where I have them.