I assumed that the microfluidic chip speed listed would include parallel processing.

Even if it doesn't, you'd still need something like 5,000 experiments in parallel for it to take less than a month...

Yes, the microfluidics used today make use of this for reading large numbers of small segments of DNA in parallel. The current "gold standard" for DNA sequencing (manufactured by Illumina) uses millions of tiny fragments of DNA which are read optically as DNA sequence is extended.