So this is is exactly when I have the problem with mine - a 16" 2019 MacBook Pro - and it ONLY HAPPENS when I have USB-C accessories attached to the machine.
Currently, I have (well, a slightly complex setup) the power connected on the RHS of the laptop. On the left, I have a USB-C to display port cable connecting me to a Dell P2014H monitor. I then have a USB-C > 4-port USB-A hub connected which then connects to the USB Hub in the back of my monitor.
My mouse lags like CRAZY to the point of being downright frustrating. I tried it with my Logitech MX Master (which I use with my work laptop) via bluetooth and it performs the exact same way, so it's not specific to the Magic Mouse 2...
This has to be some kind of interference caused by the USB-C controller because when I yanked the hub out of my machine, the problem went away but without that, my setup is all but useless; I use it for WFH and also streaming/content creation (which is what my Mac is for).
Nice going Apple, remove all the ports and render your machines frustratingly unusable...