Robert T. answered 12/18/19
Masters degree in biology with 4 years of teaching experience
Prokaryotes, like bacteria, most commonly replicate by "theta-replication" which is not all that different than what you described. However, eukaryotes have many problems with replication and needed novel solutions. The 2 problems relevant here are (1) eukaryotic chromosomes are linear, not circular, and (2) there is typically more than one chromosome/cell. Because bacterial chromosomes are easily 1/10th (or less) the size of a typical eukaryotic chromosome, they can get away with having only one origin of replication (Ori). In this way, they replicate similar to how you described. In order to increase the speed of replication in giant, linear, eukaryotic chromosomes, there are hundreds of origin of replication sites. The leading strand does replicate faster, but it too can only go as far as the next replication bubble (or end of the chromosome -- whichever comes first). The lagging strand must "wait" for the replication bubble to open up enough for it to replicate further. So, yes, what you suggest would sound faster in principle, but in practice, it would actually take longer. Also, you mentioned RNA polymerases and I just want to make clear that they have nothing to do with replication; only DNA polymerases (of which eukaryotes have 3) are important for replication.