It's not just that. Firstly, the most important thing is the lack of coking, which a thing when using RP-1. This is important if you want your engine to be reused dozens or even hundreds of times, which is the case with starship. I'm not an expert on rocket engines, but I know that soot buildup is an issue for regular internal combustion engines, let alone the insane complexity and tolerance of rocket engines or cutting edge full flow staged combustion engines.
That is a persistent miss-conception started by SpaceX fans from the first day when Raptor was said to use methane. I'd say it has become a cult and urban legend.
Cocking is only a thing for Kerosene if it is a fuel rich circle, not for a oxygen rich staged circle where oxygen can burn anything except the specially coated surfaces. The matter has been thoroughly studied by China before 2017, and I am sure by USSR even earlier when they developed RD-170,180 etcs.
The true advantage of a Methane engine is IF it is a fuel rich circle that avoid the harsh environment of oxygen burning the combustion chamber itself. But full flow methane engine like Raptors and the Chinese 200t are oxygen rich in their oxidizer loops, therefor facing the same problem.
The conclusion was that, there is no meaningful difference.