I have long been having a thought over this.
You are just too late, meaning that plenty others have been noticing this in the past years.
In 2014 already, Dogecoin holders have sponsored and painted (nicely!) a car for NASCAR.
I don't know, I think it was in 2017 I think when some Monero holders were trying to get people from entertainment area advertise Monero.
Kim Kardashian was already fined for shilling some other coin.
Crypto.com is very present in Formula 1.
Many platforms are sponsoring football teams, formula 1 cars and many other sports.
...and this is only the small part I know of.
As you can see, it happens already on a pretty big scale, and not only for bitcoin.
But bitcoin itself is a somewhat different story. Bitcoin has not CEO, it's not a business per se, it doesn't have funds for advertising. Bitcoin related businesses have that. So Bitcoin itself won't advertise itself, but Bitcoin companies should advertise both themselves and Bitcoin too. Could this be done at a larger scale? Most probably. But overall it's not a new idea.