I run the lector program in our parish, and I'd get shot at dawn for even suggesting such a thing.
I can understand that doing all the readings would be tiring for many priests, but there are days, especially at daily Mass, when I find the lector really distracting. I've heard there are parishes where the lectors meet, practice, and critique themselves, but our parish isn't one of them - I think anybody who knows the alphabet can get up there and start reading.