The Pet Web Library (http://www.marvistavet.com/html/the_pet_web_library.html)
A more comprehensive list of things that ail dogs and cats.
There are many more than five.
For starters no one here can diagnose, this is the internet it is not possible.
I could point out lots of possibilities from this list of symptoms, not just worms.
do you see what I am getting at?
OP reads "case of worms" and doesn't see much urgency for treatment, it's just worms.
Swollen eyes-allergic reaction, bee sting, demodex, I don't know.
Swollen anus- over full anal glands, perianal hernia, mass or tumor, I don't know
Panting and accelerated heart rate-cardiac problem, anemia, got too hot, I don't know.
Hyper salivation-ingested something toxic, nauseated, I don't know.
Reddened gums and tongue-heat stroke, the bruising that comes with ingesting rat poison, I don't know.
Yelps, tense and whimpering-likely a reaction to pain, but to what, I don't know.
Attempted to urinate and would or could not finish-urinary tract infection, kidney problems, stones or just too painful to assume the position, I don't know.
It all came on rather suddenly, worms don't do this, sorry.
As far as your VPI statistics.
1-This is what they covered, I've seen them disqualify pets for more serious issues that obviously are more costly.
2-That is only a study of the pets who had the insurance, I would be interested to know what percentage of the pet population actually have insurance, I'm betting it is pretty small.
3-What problems take up the other 75%?
I am not trying to argue with you but you cannot minimize what people are saying by stating something like it sounds like a bad case of worms because it may very well be much more serious. And what happened? they didn't get their pet looked at in a timely manner.
Granted some will not and may not need to seek medical attention, but that is why they come and ask the question. Many get the medical check up and come back to thank us for helping them see the urgency in it.
In this post I see a very sick pet far beyond dewormers.