If the "print to jpg mode" doesn't use "intent" in creating the jpg, what does it do? If nothing, why is it an active option for the Print to jpg mode? Other printer options disappear when switching from "Print to printer" to "Print to jpg".
Are you outputting sRGB JPEGs from Print to File or are you using a printer profile?
If you are using a printer profile then yes, you should have the ability to choose rendering intents...those intents are actually used when transforming to the printer profile.
If however you are outputting sRGB JPEGs, then no, while you can choose perceptual it will only use rel col intent. That's a limitation of working space profile transforms...sRGB really only has rel col rendering intents built in version 2.x profile. Version 4 ICC profiles CAN have a perceptual intent but it takes a special download from the ICC to get a v4 working space profile.