Gold badge increase odds of catch?

I doubt it, I'm personally seeing the difference b/t using golden razz though--I really try to limit their use now. I cave the last few throws sometimes. Residual effects sure, more likely to have gym control, get more bundles and maybe looser with golden razz as a result

Bronze +0.01 = +1%
Silver +0.02 = +2%
Gold +0.03 = +3%
Chances
...if double type: medium value beetween medals

I haven't noticed any better catch rate at my gold gym versus others (if anything, I'm worse there).

I have thought I had better post-raid item payouts though--the last few TMs and golden razz I've gotten were at the gold gym.