Significant colour rendering can exist between lenses and it my experience is not resolved well by post-processing of white or colour balance. A notorious personal examples for me was the Sigma 18-125mm (first version) which I used in the dawn of DSLR days. That lens had a very unattractive yellow/green tint which I could not correct. The replacement Pentax 18-250mm had no such colour issues.
A more recent example is the Mitakon 85mm 1.2 which although a sharp lens with nice build, suffers from a noticeably yellow tint in colour rendering. I have now replaced it with the Sony 85mm 1.5 G master, a truly wonderful lens by all metrics save focusing speed.
Also I believe optyczne.pl used to test colour transmission characteristics in their older tests - these could be used as an indication of colour rendering.
A more recent example is the Mitakon 85mm 1.2 which although a sharp lens with nice build, suffers from a noticeably yellow tint in colour rendering. I have now replaced it with the Sony 85mm 1.5 G master, a truly wonderful lens by all metrics save focusing speed.
Also I believe optyczne.pl used to test colour transmission characteristics in their older tests - these could be used as an indication of colour rendering.