No, it won't. The power drain of merely refreshing DRAM is negligible, it's no higher than the drain you'd see in S3 standby over the same time period.
Similarly, having more cache may mean less SSD activity, which may mean less energy draw overall.
If I had a chip to put on the roulette table of this "what if" I'd put it on the "it won't make a difference in the real world in any meaningful way" square.