Bloomberg is worth $50+ billion. They could afford Twitter.
Michael Bloomberg is worth an estimated $52 billion per Forbes. He owns 88% of Bloomberg the company, and nearly all of his wealth is wrapped up in the company. It's an extremely profitable business with $9+ billion in revenue.
It was worth ~$22 billion during the great recession, when Michael Bloomberg repurchased 20% of the company (rather brilliant timing, buying it from Merrill Lynch). That was a decade ago.
In all seriousness, as savvy as Bloomberg has been throughout his career, I'd expect him to wait until valuations plunge again, before making any big moves. I also wouldn't expect them to bother with Twitter.
He's a signer to the giving pledge. At nearly 76, he's no doubt facing a serious decision about what to do with his company. I'd expect either a public listing, or a sale to a large financial firm (JP Morgan etc).
Twitter needs and deserves a full-time CEO or to get sold to a larger company that can do something with it.