This is manufacturer specific. The Brother replacement cartridges are half the price of a new printer ($50/$100) and the replacements print ~3x the number of pages (2600) you get with the included cartridge.
Plus, the no-name toner cartridges work perfectly fine for Brother printers (I buy 2-4 per month for work). However, do not buy the non-brand drums, they are a waste of money; the genuine Brother drums last 4x longer.
I’m buying 2 black + 3 color cartridges for Brother for about 40 euro, sometime even less on sale