Not in my experience. Have had one for several years, switch it on when I need and turn off for weeks at a time. Runs perfectly and total cost of ownership is already lower than the mid-range pro HP printer I had before.

Also laser printers draw a lot of power constantly, you may be confused here. The toner needs to be kept warm.

Having both color laser and inkjet, color laser printers can dry out parts inside that can make the operation not work well.