They made the most popular RPG last year already - why do you think it'll take 20 years for them to make the most popular shooter? For that matter, the Singapore-HQed SEA makes Free Fire, which topped Google Play in 2019.
Gacha mobages are rarely considered the same kind of entertainment as actual RPGs, and even then the Japanese and the Koreans give them stiff competition. When it's not a skinner box FOMO with titillating skins the Chinese barely register on the radar.
Im aware of Genshin Impact, and that NetEase is behind Marvel Rivals. FPS tend to have sticker fanbases, but I chose 20 years because that's what I guess is how long it may take not only for the domestic EUV to launch and get yields good enough for a cheap but competitive GPU out the door.