No, BRJ...
Emirates will endeavour to put what they see as the most commercially appropriate aeroplane on a route at any time.
If they open a route with a 330 but the demand immediately peaks for a 380 to become a suitable airframe, then as long as they have the aeroplane availability (which is the problem), a 380 it will become.
There are myriad other issues but just because an aeroplane is new and shiny doesn't mean that they ignore all the other fleets...the reason this is happening with the 330/340 is because a) they're too small for the majority of routes b) their cabins are out of date and unsuitable for premium (ie first world) routes. As they were always planned to be departing, the company delayed refurbs, the problem now is that they can't get rid of them as they have nothing to replace the capacity with.
In an ideal world, EK won't leave a fleet short in order to fly the shiny new one if they need both equally, however not having enough pilots to do this, they have to spread who they have out to fill the most valuable seats - at the moment, the 380 - as it can take the most passengers.