I keep it on a dual-fan laptop tray while in use to help with cooling, haven’t noticed the actual laptop fans working hard yet. Not super worried, graphics are nice as it is. You helped pick a good one.The RTX4060 will upscale to 4K but may get a little laggy with ray tracing enabled. I think your laptop has 8G of ram so may show signs faster than a full desktop video card and make the laptop fans run continuously. Not the best to do that. Find a resolution where the fans don't kick constantly.
Your right though on the projector but some can also software manipulate to mimick a higher resolution.
Short version, don't stress out either continuously for longer term life.