Hi mibby_1,
Thanks for reaching out in Apple Support Communities. I understand that you're seeing a difference in the refresh rates when connecting via a USB-C to HDMI adapter to use a 4K TV as a display. I can see why you'd reach out about this difference; I'd like to help. Take a look at the information below:
"Mac computers compatible with HDMI via adapter
The following Mac models support resolutions and refresh rates of up to 1080p at 60Hz, and 3840 x 2160 at 30Hz, over HDMI 1.4b when using the Apple USB-C Digital AV Multiport Adapter with macOS Sierra 10.12 or later:
- iMac (2017 and later)
- iMac Pro (2017)
- MacBook (2015 and later)
- MacBook Air (Retina, 13-inch, 2018)
- MacBook Pro (2016 and later)
The computers listed above also support 60Hz refresh rate over HDMI when used with a supported HDMI 2.0 display, HDMI Premium Certified cable, and a compatible third-party USB-C to HDMI 2.0 adapter.
If the HDMI display that's connected to your Mac starts up to the Apple logo but then goes dark, you might need to update your HDMI cable. To ensure compatibility, and to achieve 4K resolution, Apple recommends a cable that supports HDMI 2.0 or later, such as the Belkin Ultra High Speed 4K HDMI Cable."
Use 4K displays, 5K displays, and Ultra HD TVs with your Mac
I'd recommend verifying that the adapter and HDMI cable you're using will support the 60Hz refresh rate per the specifications above.
Best Regards.