No, Elon Musk has nothing to do with Shiba and DOGE as well. Musk likes to PR on all sorts of hype topics or speculate on altcoins. I do not exclude the fact that he had his own investments in these projects and simply tried to influence price with his mediality to make a fast profit.

As for SHIB project itself, compared to DOGE, it looks more interesting and its ecosystem is more diverse.