I would call 80-130 a substantial jump, but you wouldnt be the first person to do it.
In my first dozen or so dives beyond OW i went into caverns, went incrementally from 60-100 ft in 10ft jumps, dove at night, in zero viz, off boats, off the shore even though my training cert dives were all up to 36ft in a lake. My most enjoyable dives have been at night. I finally completed my AOW at around 50 dives mostly to be able to get on boats which would take me out to deeper sites - although that has only been the case on one or two ops. Even now i havent been deeper than 120ft after 100 dives, no great rush to go deeper at this time. You can gain experience from other more experienced divers and get most of what you need to stay fairly safe. The courses put it in a more structured form and try to point out the dangers or things you should be aware of before attempting such dives (and the cert cards show the dive ops you have "some" experience doing this type of dive), but even though people feel they are ok and safe there may be things they overlooked or didnt realise. In further overhead training i have seen how foolish some of those first few cavern dives were. A good instructor will hopefully be able to show you the types of problems, thought process needed to plan and conduct your dive (ie not just listening to the DM) so that you are better prepared as a diver, it just happens that those dives usually involve going deep, navigating around, possibly night diving and whatever else takes your fancy.
I would still go and get the training, i dont know if there are gaps in your knowledge, but its always a possibility for many of us newer divers and its never a bad thing to learn new skills/ideas from someone more experienced - the card just offers proof you have training of some sort that covers this kind of knowledge and did the dives as well.