Yes it's quite annoying. However I believe I have found a workaround, so Apple pay attention as it sadly requires 29$ for buying 2 apps to get a functionality that should be in IOS from the first place.
1) For best results in recording video I downloaded and installed MoviePro for 7$. It allows me to capture 4k @60fps videos just like the standard IOS app. The difference is that I can change a) the bitrate of the recording and b) change my microphone settings to just using the front microphone (to prevent the standard wind noise). Change the MoviePro settings to a bitrate of 225%.
Change the settings so that the videos are getting saved to the MoviePro editor first. In the editor, don't choose to make a video project there as it only allows exports at 1080p. Instead copy the video files to the standard IOS photo app. Saving them there directly doesn't work, it will change to 4k @ 30fps which isn't what you want.
2) Download the LumaFusion app (22$) on your IOS device. It's a professional video editor which allows you to use the full 60 fps videos and, more importantly, export to 4k @60 fps.
Naturally you can skip step 1 as well, if you are happy with the standard audio quality and don't want to maximize the video quality in your standard video recordings. The higher chosen bitrates in MoviePro will cause faster battery drain and you'll notice your phone will heat-up.
To be honest, I haven't done step 2 yet, just waiting for the compatibility to be added by Apple for now. That will probably change for me at a compelling event where I want to use the 4k 60fps settings, such as creating a holiday video. Tell me if the above has indeed worked-out for you.