dullard, I don't understand your statements about the i3-7100 and G4600 having lower power usage than the G4560, when they are the same die, and clock higher.
Maybe Intel specified the TDP higher on the G4560, to make it easier to bin to that spec, but honestly, in real-world conditions, I wouldn't expect it to have higher power usage than an i3-7100 or G4600, I would expect that due to the lower clocks, that it would be lower power. Unless, I guess, you got an outlier binned chip, and it was just leaky.
Edit: I am reminded of the XBitLabs review of the Intel Core2 Celeron E3300 CPUs. They were 45nm dual-core Core2-era CPUs, released fairly late in the lifespan of the 775 platform. They were specified with a 65W TDP class, like most of their other similar CPUs, but in actual usage, they only drew like 35W.
I would expect that in the real world, the G4560 would be similar, and even with a higher specified TDP, that in actual usage, it would draw less power than an i3-7100. Certainly, if the i3 was running AVX/AVX2 codes.