Hi Phil.
Related to your question, it could work but is not supported at all, CA only support only drivers with the same clarity version, so, if its working great, but if you have issues with the driver and you open a ticket, probably the first thing will be "Not Supported", for java apply similar criteria, java 6 is not supported.
Now my advice to you is to install 14.2 legacy or new driver, installing this driver you will not require to install java, since the Schedule Connect has is own java included, so if you have java 6, its OK the driver will run with is own JRE.
Antonio