I've looked at the LG gram before (the 2021 model [0]), but wasn't convinced. And now after seeing a friend's new Lenovo legion 5 I'm even more uncertain of which one should I pick. (That Lenovo has a handy button to set the power envelope, which seems to actually work.)
I also usually move a lot, but I don't want to optimize for that. It's easier to find a power outlet than to cool a throttled laptop.
I can't speak for how Windows behaves on it, but I've never noticed any throttling. The only time the fans have kicked on is when the battery is plugged in and charging. As I said before, though, I also don't really game on it.
I don't know if / how it runs linux, but I've got a friend with a legion, and was also happy with it.
If you'd rather have better graphical performance than battery life, definitely go with the legion. If you can't stand the thought of being tethered to a power cord every time you have to do something serious, then you might want to consider the gram.
I've had gaming laptops before, and after putting the battery through the ringer after awhile it was a struggle to get 4 hours unplugged, which I simply didn't want to deal with again.
I've looked at the LG gram before (the 2021 model [0]), but wasn't convinced. And now after seeing a friend's new Lenovo legion 5 I'm even more uncertain of which one should I pick. (That Lenovo has a handy button to set the power envelope, which seems to actually work.)
I also usually move a lot, but I don't want to optimize for that. It's easier to find a power outlet than to cool a throttled laptop.
[0] https://www.rtings.com/laptop/reviews/lg/gram-17-2021