Typically if you are seeing pulsing and such, then that is a matter of the TV itself having motion enhancement and contrast enhancement features turned on. This is something which can also be displayed in projectors. Most notably, motion compensation can be good or bad, and better video processing tends to be in more expensive models. But, dynamic contrast, through use of an auto-iris, is used all the time in projectors and can very easily produce a 'pulsing' on screen of black levels which rise and fall. This can be extremely visible to viewers and like most features, is something that can usually be turned off so it doesn't bug you anymore. If nobody else notices it, then the reason you turn it off is to make yourself happier about all of it.
Projectors aren't immune to having image defects, and projectors often use similar video processing to what televisions use. But, I would first look at the TVs I owned and try to figure out what settings they are using which are not making me happy, and try to correct them.
Projectors are similar to TVs, but the difference is all about the size. 120" of projector diagonal (or larger) is tough to compete with when you only have a 60" television. You begin to scoff when people get excited about their new 70" TV 'home theater' setup. You say things like: "That's not a home theater! Home theater starts at 100 inches!!!" And, some projectors, like the LCoS models from Sony and JVC can look absolutely incredible in a good room.
But, front projection has a long list of hurdles and requirements which must be met to get the absolute best image possible. They certainly aren't just a 'TV replacement' product.