Does your 1997 Vectra have a slide?
I will send this information and video to you as a reference, because it's off a 325/625 HWH System and I don't know how similar it will be to your HWH610, but all these jacks form HWH share similar design principles. ...If not, then this inform will be helpful to newer HWH owners and you guys should keep it for future reference.
* If you have a "Shuttle Valve" in your HWH system it regulates hydraulic fluid to both the room extensions and the jacks. And since your problem has to do with both of these systems not working, then I'm guessing the Shuttle Valve is the common link.
Note: Your jacks could just have easily be stuck down. I.e., when debris blocks one of those shuttle valve ports your jacks can get stuck in any position or just not work or work slow.
I think I would try these things first:
* Get a 12V scavenge pump on Amazon for $18 and suck all that Dexron III out of your reservior. (Mine took 7 quarts.) Note: If you recently changed your Dexron III you can use a fuel filter to recapture the old stuff before putting it back in. If your Dexron III is 10+ years old get rid of it!!! ...And buy the TES395 Dexron III or the basic type Dexron III. Do NOT use the high mileage Dexron with additives and don't use any universal type Dexron III/V. You really just want the cheap stuff... and since there is no heat applied in a HWH system the cheap Dexron III will last a long time.
PROCEDURE
* Follow the video on how to test your shuttle valve by swinging that "U-tube" around and then you need to putting a cap on the other end. (Buy this at the local hardware store.) Then run your system and see if your jacks work.
If they do then the question shifts to: "How can I clean out the debris in the shuttle valve so I can reuse it?" ...And I do not know if you can. If it does not work then you have to buy a new one.
* Remove the old shuttle valve and blow it out with compressed air in reverse. That would be through the single pipe fitting and hen out through the multiple little holes. Then replace it to see if this method works? (25% chance?)
* Refill your reservoir and and now see if your jacks work. ...If not, then I think you need another shuttle valve.
Note: I have never performed this repair my self, so maybe someone who knows what you need to do will offer you better advice.
Also, if you have a Fan Clutch Reservoir Tank in your engine bay, this would be a good time to replace 10 quarts of Dexron III there too... using the same scavenge pump to remove the old fluid and put back the new.
Together you need 7+10=17Quarts so you might as well buy it in volume to get a good price.
* I highly recommend use use a scavenge pump to make this fluid transfer easy, quick and clean.
Video:
Video #2:
Scavenge pump $18:
https://www.amazon.com/ATPTOOL12V-Ex...NsaWNrPXRydWU=
Note: Some one once told me there was a relay that controls the HWH system, but since you can turn the pump on I don't think your problem is electrical. It may still be, so I will send you pictures of where this relay is located from the notes I kept... but your rely maybe located somewhere else. My guess is your problem is a clogged shuttle valve and I don't know if blowing it out with air will work or not? It's worth trying so you don't have to go to the trouble of getting a new valve.
Stewarts in Indiana sells a lot of HWH parts. Call them for advice too! Note: I don't think they like helping people with service issues that much, but maybe you will catch them on a good day?
Scavenge Pump:
https://www.amazon.com/ATPTOOL12V-Ex...dDbGljaz10cnVl