HDMI DVI Adapter from Laptop to Monitor?

I have a laptop and a monitor. If I connect the two with HDMI cable, the FPS stays at 60, but on my laptop alone, the FPS rises even higher. But if I connect the two with a HDMI DVI adapter, the FPS rises? My laptop does not have DVI access, so I ask if it's worth buying an adapter.

If it is worth it then which. There are 2 types one with cable and one simply in HDMI access and then directly DVI.

With cable: https://www.brack.ch/delock-kabel-hdmi-dvi-830126?origin=pla&keyword_id&remote_ad_id&matchtype&pla_target_id=537854202182&creative_id=268860558373&keyword=&productid=830126

Without cable: https://www.amazon.de/...B000WKKY40

Please do not ask questions why I want to play on the monitor.

Why should something change there? The DVI has no influence. I just tried that with me.