In studying of bacteria molecular characterization and antibiotic resistance, It is important to do the PCR for the bacterial genes and resistance genes before sequencing or Direct sequencing from the DNA extraction?
I think it really depends on what type of experiment you are doing. If you know a target then PCR is wonderful. If you have limited samples PCR is also very helpful to increase the amount that you have. However, I want a full genome view of the DNA reducing or eliminating PCR is helpful.
If you have targets - design and PCR amplicons of the regions of interest.
If you have low DNA input - PCR can also be helpful but also unless you can collecting more DNA.
Have you thought about whole genome shotgun sequencing and genome assembly? At least for bacterial genomes it is not very expensive anymore and you could avoid PCRs for single loci. Moreover, you gain much more information - even from a draft genome assembly. It might even be less expensive than several DNA extractions, PCRs and Sanger sequencing reactions.