Really can't compare.
Humans and Turians dealt with the majority of Reaper forces. The Asari were secundary targets, as seen in the fact Earth and Palaven were hit at the very beginning of the war, while Thessia only at very late stages.
Thessia is the most ecomically important home planet in the Milky Way Galaxy. It was far more strategically important than Earth, which in comparison was no more than a galactic backwater. The Reapers striking Thessia after Earth or Palaven doesn't necessarily mean it was a secondary objective. Godwin ahead...
Nazi Germany invaded the Soviet Union after it had invaded Poland, Belgium, the Netherlands, Norway, and France, and had annexed Austria and the Sudetenland. Military expansion in Russia however, was the primary strategic goal for Nazi Germany.
There is also no indication that the Asari faced less Reapers than the Alliance did.
It is true that the Reapers achieved greater strategic surprise when attacking Earth compared to Thessua, but then that was also an embarrassing Alliance military and intelligence failure. The Batarians, much of the Terminus and Illium were struck first, so there is really no excuse for humanity being caught with its pants down. Illium also held out longer than Earth, despite bring hit first and being an independent entity not supported by the Asari Republics or other Council forces.
The Alliance really needed the Crucible and the final battle to redeem their military record, because prior to the final battle it had been abyssmal, and much less impressive than that of two of its Council partners (Turians & Asari). Only the Salarians were worse, in that they seem to have bizarrely sat the whole thing out until the final campaign.