What do you mean OK? What do you mean "that is still not true"? That glaciers retreat while no warming?
Do not try to tell me about the role of temperature in ice melting. But in case of glaciers, temperature is nearly the last agent in a long row of factors for the time scales mentioned. Have you ever heard the expression by glaciologists: glaciers are very bad thermometers?
I would tell you much more on geologic factors driving glaciers that you cannot find in sources accessible to you. But it does not make sense.