Quality control on those no name probes can vary so best to get the higher MHz rated one. Also, a 60MHz and 100 MHz probe from no-name are essentially the same price, and for use at 20MHz both work very well as the Keysight document explain. If you are diligent on eBay you could find even higher rated probes for less money if you buy more than one. I bought a box of 4+ some years ago for ~ $20 as day-to-day banger probes; the construction could be iffy, but most of those in the box are still alive; I think we posted tests on eevblog forum some years ago.
https://www.eevblog.com/forum/reviews/cheapest-100mhz-oscilloscope-probes-hands-on-review/msg100171/#msg100171