I've been to Lloyd's of London, and have had the pleasure of dealing
with insurance underwriters, and in my experience they tend to be a
decidedly unromantic bunch. If they think there is money to be made, they will
insure it.
Which suggests you are either a Lloyd's broker or the insured, since you won't get near a Lloyd's underwriter in the Lloyd's building otherwise. It is true that there is a saying in the market that,"There is no such thing as a bad risk, only a bad rate" but even the biggest underwriters will run out of reinsurance layers on this one. The actual insurance rate would be uneconomically high.
I had nearly three years with the largest aviation broker there is during a lay-off from flying and still keep in touch so not smoking anything, the market simply aren't interested.