The surface navy has a PQS for everything under the sun. I'm pretty sure they have a cake drier PQS. I could go on for awhile about the SWO proclivity to treat a sign off as a chance for the signer to demonstrate his smarts...A few things to elaborate on...
1. Everyone (not just SWOs or even junior SWOs) has PQS they have to complete.
2. To get a PQS line item signature, you are actually suppose to demonstrate a certain level of knowledge on that particular topic...not have someone give you instruction. But that's another conversation for another day. The SWO community is notorious for not doing PQS correctly.
3. "At your own pace and your own time" is a bit misleading. There are both formal and informal timelines that quals are expected to be earned.
4. The initial "qual" will probably be something like Basic Firefighting followed by something like Boat Officer or OOD (Inport) and then maybe CICWO (Combat Information Center Watch Officer) and then OOD (U/W) being the most important before sitting for your SWO board. These are all dependent qualifications for qualifying as a SWO.