Yep - it's best to use microfibre for everything really... what you take off the surface, whether it's a polish, a wax or a glaze, after you've applied it is excess so your polish will have already done the job that it's supposed to when it's rubbed or machined in and therefore you're only removing what's left.
If you're using anything other than a microfibre, you're running the risk of scratching what you've just done - for example if you machine polish a wing to remove the sractches and you then buff with a microfibre you won't harm the paintwork that you've just corrected, however, if you take a non-microfibre cloth, you run the risk of undoing the correction work, and this applies with whatever process you're doing, even drying the vehicle.