Sure they are controllable, any AC pump can be hooked up to any AC output wavemaker/controller but that doesnt mean that they are designed or recommended for use on a controller/wavemaker. Whether it wears the pump out faster is a matter of debate but there are often noise issues. Most commonly with the on/off controllers, many of the powerheads/pumps chatter on startup. I used the Koralia pumps and Tunze nano on the Seio controller for a while. The Seio Controller is technically only designed for some models of the Seio pumps. Any issues you are having are because the Koralia pumps arent designed for the controller and vice versa. The issue I had was an occassional chatter when the Seio went into, I think, low speed, But it may have been chatter at high speed ... It's been a while since I used the combo.
I know this isnt what you want but ... The real solution is to use the Seio controller with the actual pumps it was designed to control. Or, buy a DC controller and the pumps made to operate on them ... Tunze, Koralia ... I think Taam/Seio/Rio has some new controllable options like the Polaris ... generics like Resun (sp?), Vortech etc.
The Maxijets in stock form tend to operate well on standard on/off wavemakers.