Disclaimer: this is very US centric information.

I have yet to see laundry that has to be connected to internet to work - there are several that can be connected, but no one can really answer why a consumer would want to (even the mfr reps kinda just stutter and mumble about vague "convenience" features). I wouldn't say laundry is heavily spying on us... yet...

I wouldn't buy whirlpool family because it all feels incredibly cheap and breaks easy. They have service techs almost everywhere, but their part supply is garbage so you are often waiting on parts. LG service is nearly non-existent. If you live in a big city they might have one or two techs that they can send out, but that's it. They are better on parts, but they very rarely admit the appliance is FUBAR and replace it.

Speed Queen makes absolute units. Like, you could probably drop it down a flight of stairs and then hook it up and run a cycle. BUT, they come with downsides - mainly price point and capacity, but they are also very hard on clothes, and the TR series wash cycle sucks because the agitator is fixed to the tub (this design has been tried so many times and sucks every time) - the TC wash cycle is fine.

Samsung units are very similar to LG units, but their service is generally better - much more parts in stock in the US already so fixing it when it breaks is usually pretty quick. They don't have a great service network, but they are quick to admit they can't get a tech out and just offer replacements.

Frigidaire/Electrolux units are "fine". They generally also have service everywhere and reasonably part supply chains, but they aren't built fool-proof.

Cheap GE units are probably the place to be for cheap units, they aren't built as cheaply as the whirlpool family typically, service is generally decent. They still aren't build to last more than 7-10-ish years. Most appliance companies in the US realized their average customer was buying new every 5-7 years anyway due to moving or remodeling. That meant building them to last considerably longer than that means they are building them to be used by the second hand market. Similar to the gaming industry in the last several years, they don't want that because they don't make money on that. Save money during production, make a worse product, more sales/profit.

I feel like this post is already too long... I've been working with appliances both repairs and sales for about 12 years now. If people have questions I'm happy to answer :P