Yes but my labels faded even though they weren't exposed to any particularly high temperatures (on the wall for example). I have some labels printed with original Dymo cartridges that haven't faded. It's not only that the "unheated" white part gets darker, but the dark parts that were originally printed lose their blackness as well, the whole label converges to a purlish gray haze.
Thermal printing is a chemical process, the printing *will* get weaker over time, the label will turn somewhat yellow/grey-ish over time, especially when exposed to light. The decomposition will be sped up by higher temperature and UV-light.
DYMO (original) is not a lot better than 3rd party labels, just way more expensive.
Thermo transfer (with black foil) however keeps the black printing like forever. Essentially you are covering your label with a mix of wax and carbon particles, so you don't have a chemical process involved, the print is a physical process.
For thermal printing, you are pretty much stuck to paper-based labels; transfer labels are available in paper, different plastic materials and even metal. So you can even create chemical resistant labels.
So if you want to mark something to be readable for years to come, use transfer print. There are also these useful handheld printers with cartridges, those are transfer printers as well. Cheap and great, IMHO.