As most miner program start with 0 nonce and increment from there, given there are many resourceful miners who will also compete for the same desirable nonce:
Everyone is mining at [0 ~ LARGE_RANGE] (lower range)
I mine at [LARGE_RANGE + 1 ~ MAX_RANGE] (upper range)
Scenario 1: Other people found the desirable nonce at the lower range, they do it way quicker than I do even if I were to mine on the same range.
Scenario 2: The desirable nonce is at my range and I found it first(before others found it since I skipped the lower range)
Is this a possible way to improve my mining performance?