Remote doesn't have headphone jack question

Just purchased Roku Stream Stick 4K. I thought the supplied remote had a headphone jack to plug my Iphone headphones in when I want to watch something late at night and not wake my neighbor. To my dismay, the remote does not. The workaround is downloading the Roku remote on my Iphone and, choosing the headphone feature there. Here's the issue: if I go to listen to a Tik Tok video, YouTube video, Instagram reel or anything with audio on my Iphone, the audio from the Roku stream gets stepped on and is cut out until I return to solely the Roku audio stream. That stinks. Now, the next question is: if I purchase the Roku remote that has a headphone jack built in (for an additional $30), and use that for headphone listening, I can do both watch YouTube videos and the rest at the same time, correct? The Roku and my Iphone will be independent of each other I assume.