I have had many paramedic students who go all the way through medic with no intention of using it.
Generally they are looking for "prior healthcare experience" for a PA course or are nurses who want to put it on a resume to help them get a flight position.
Generally, the education level of paramedic will make your assessment better than an EMT or first responder.
Having said that, without equipment you are not really going to intervene in any meaningful way past that of doing CPR, controling bleeding, or making a splint.
In LA the question I was most asked by still alarms was "does this need stitches."
Which is really a relative question. Very few people ever actually "need" sutured but they can benefit from it.
Allowing a wound to remain open, granulate, and scar (aka second intention) is a medical treatment plan. Basically keep it clean and do nothing.
It is not as simple as get the education and buy your own jump kit. Without formal medical direction you would be practicing medicine without a license. In most places that is a felony. (which will definately ruin life as you know it)
You would also be liable for any damages.
In the event you are preparing for the zombie apocalypse, don't waste your time. EMS education is not meant to be "doctor light." Most of the interventions are just temporary until the patient can be transported to a full service hospital. If the world ends, there won't be any functioning hospitals. If there are, it will be filled with people who can actually take long term care of people.
In LA, if you are going to spend the time to get a paramedic card, I suggest getting a job at Acadian.
I don't know what they are paying now-a-days, but it used to be very respectable.
As was covered before, providers who rarely use skills suck at them. Which doesn't help.
To put it into perspective, would you be ok with a surgeon who operates 1 or 2 times a year cutting you open?
Or even decideding when or when not to?