Binance listed it very early, Coinbase did not and might not even list. Coinbase announced to list DOGE after 6-8 weeks. I don't think there will list SHIB anytime sooner. Maybe a year later if it becomes something.

Doge also started as meme coin, no utility but now slowly becoming a coin of choice for at-least transaction between two parties. who know how DOGE and SHIB turn out in near future.