I know this is a stupid question but I know there could be glitches in the game. Synchronize is an ability that causes the opposing Pokemon to have a 50% chance of having the same nature as the Sync. Pokemon. (Abra is a good example) Also, It says boosts the accuracy of moves but I was thinking that there may be a glitch in the coding that may make this happen to Natures as well. Just a thought. If anyone could test this out and answer the question for me that would be great. Was wanting to know this since forever. Abra's Information: (Scroll Down to see the abilities for Abra for reference) Abra's Database
No, wide lens does not boost the chance of wild Pokemon having the same nature as the synchronise Pokemon.
Source: Many Many Tests (100 wild Pokemon caught with modest synchronise abra holding wide lens, 48 had Modest Nature)
Synchronise doesn't boost accuracy, where did you find it?
Wide lense boosts accuracy by 10%
Edit: Wide Lens only boosts the accuracy of moves, not ability.