Well, first of all, let's be clear that most likely this post is completely fake and just as true as a meme would be. We agree on that.

But yes, I have been in that position myself, you get 2 offers within a week (which is not unheard of since, when looking for jobs, one usually blast CVs everywhere).

As you point out, the second option is looking for a job while having one... you can go all the way and then pull back noticing you are going from whatever you have to worse