Definitely not true. If you want espresso, you’re going to be spending $200 at the absolute minimum, unless you get an 1zpresso hand grinder (but you can only do about 20g and making for >1 person is a hassle).
I have a $100 burr grinder (OXO) and the grinds are not very consistent. The Barratza Encore produces a slightly more consistent grind, and is $50-$80 more. The Encore ESP can also do espresso but the regular one cannot. Most cheap grinders cannot do espresso. Turkish coffee grind is even harder.
We have an expensive grinder at work (I think it’s a Mahlkonig?) and the build quality is night and day. The higher you go up in price point the better materials you get.