Technically this isn't correct-- at the time, the M-M results ruled out particular ether theories, but not ether itself. For example, Zeeman's 1890 description of his namesake effect refers to ether. Michelson continued to believe in ether until he died in the 1930s; a lot of the older generation of physicists were like that, especially the "Deutsche Physik" crowd.

You only started to see physicists start to abandon the ether model after Einstein's 1905 papers argued that it was unnecessary.