You'd think so, but no.
Short story is the 'nominal' size is the size before going into a planer to smooth the faces.
Yes, it makes little sense, like many things related to construction stuff.

The two-by-fours at your local home center are not 2 inches thick or 4 inches wide...not anymore at least. They spent several weeks at that size though. The sawmill cut them to that size to stack and kiln dry, and then when removed from the kiln they are then milled straight and square. Used to be they would sell the rough stock to carpenters who would do the milling themselves, but then they figured out that the railroads were charging them a fortune to ship a lot of wood that was going to be ground to sawdust anyway, so they started milling the boards before shipment. Same amount of construction lumber arrives at the construction site and it took less fuel for the locomotive to deliver it.

Lumber is weird because it has been industry standard to lie about dimensions since before the US existed so it’s just kinda a thing they get to do

As if american measurements have ever made sense. Look up how they measure screws or wires and despair.

The convention is 2" before milling. Milling takes off 1/4"on each side, so the result is 1.5".

They were when the name was made, but due to changes in the manufacturing process, they aren't anymore. The name stuck, though.

https://www.popsci.com/two-by-four-lumber-measurements-explained/

It's due to the milling to square it.

You can get rough cut 2x4 or 2x2 or anything that are actually that size but by the time you trim and square it you will end up at the measurements sold in big box stores

Edit: I mean the size they used to be in store, not OPs version :(

Jesus did it

Nah nothing wrong with wearing socks with sandals when you’re home. Do what ever the hell you want.

But I do agree with wearing proper footwear while doing dangerous things.

Can't you see those are safety sandals. And just like safety squints, are approved PPE across the whole 3rd world industrial sphere. OP will be perfectly safe.

At least the socks aren't white.

Agreed, seems like some kind of weights and measures violation.

I'm going to guess they can get away with this because 2x2s aren't intended for structural use. I've never built one into a floor, wall or ceiling.

I'm wondering if it's a regional thing? I just looked online for pressure treated 2x2's and all the ones I'm seeing (home hardware, home depot, advantage lumber, etc) list as actual being 1.5x1.5

Premill size vs sale size. Something like that. Probably not the correct term.

Similar to how steak is measures in precooked weights.

2x4 is the rough cut dimensions from the sawmill. They end up smaller after drying (wood can hold a lot of water) and planing.

*Planed/straight wood versus raw lumber. It threw me off when I first started building stuff and summed that a 2x4 was actually 2"x4" in all my measurements/plans

*Or it would be straight if you're lucky and don't pick from the top of the bin at Home Depot

The old * uncooked weight

It's possible they stocked the wrong thing, but it was rung up as Pressure-Treated so maybe they applied the wrong barcode?