My plumber always tells me never to use drain cleaners, so I wouldn’t say nobody worries about it...
We just mechanically clean them out ourselves, anyway.
They'll generally use a snake/auger. Home Depot sells a basic one for $15. The beefier, further reaching ones cost more. Or, for smaller jobs, there are single-use plastic snakes.
The compound is fine in your dishwasher because it will fully react and neutralize in your plastic or coated metal dishwasher casing.
"Lauge" is German for "lye". They're called that because they're made with it.
[1]: Though when I switched my phone keyboard to German just now to test it out, the predictive spelling corrector suggested "Laugenbrezel", not "-brötchen", when I'd got as far as "Laugenb".