I speculate wildly that way to discourage further questions.
The newspapers speculated wildly on the cause of the whole affair.
Or will you declare your club to end readers speculating wildly.
Couldn't you have simply talked to these individuals instead of speculating wildly about their background/identity?
Certain of the directors speculated wildly and lost most of the shareholders' money.
The situation was embarrassing for the couple, as the country expected their engagement and contemporary newspapers speculated wildly on the affair.
Rather, he makes mistaken assumptions and then speculates wildly on their implications.
They didn't wait for the science to speculate wildly.
There is, perhaps, still time to make good by speculating wildly.
And when faced with surprising data, they did what any good scientist would do and speculated wildly.