You should probably read this:
https://www.musicservertips.com/how-to-articles/iphone-digital-audio-output/
It appears that iPhone/iPod will not allow digital connection with some DACs. You can try this with the Gustard, but honestly I think the best solution would be a laptop or desktop running media software such as JRiver. JRiver has an excellent app (JRemote) that you can install on iPhone/iPad to remote control the JRiver on the computer (as long as you have a wireless computer network). With JRemote you can view the music library in JRiver and play anything.
So, laptop/desktop is best solution (as I said you can always try the Lightning USB with Gustard). Desktop will have a much better power supply and a better USB circuit. Desktop computer is a LOT bigger and requires external monitor, but you can get a really good USB card to connect to the DAC, such as the SOTM, PPA (Paul Pang) or JCAT:
https://www.computeraudiophile.com/forums/topic/29199-would-you-recomemnd-an-audiophile-usb-card/
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I thought of another thing. If you really wanted to use XLR cable for both DAC and phono preamp, you would have to get a separate preamp and amplifier (instead of an integrated). Some preamps will XLR inputs for two sources (though many will only have one or none). This will drive the cost up a lot more and you will also need another XLR cable between preamp/amp. I think we are already way over the $5,000 USD point with the system we are discussion. Doing a separate preamp/amp could potentially push the cost up to the $8,000-9,000 point. As you said, since you only "occasionally" listen to digital music, it may not be worth it. The Wire World RCA cables for Gustard will still be very excellent (unless your phono preamp doesn't use XLR).