Quite the contrary - the alarmingly fast run-rates are far more common in England than Australia, due to a combination of under-sized grounds, poorer bowling and bad rule-making.
And with regard to the current climate of one-day sloggathons - it is not that the run-rate has decreased the importance of economy-rate, but the other way around - lesser ability bowlers have caused scoring-rates to rise. Bowlers who have played in both eras have, if anything, improved their economy-rates. If batsmen were simply more aggressive, the economy-rates of Pollock, Warne, McGrath, Vaas, Murali etc. would rise. Instead, they have fallen. It is simply that the likes of Donald, Ambrose etc. have been replaced by bowlers who cannot maintain such accuracy as their predecessors.