I think the big issue is that PvErs are essentially 'sheep' who are fattening themselves up constantly for the 'wolves' to devour, and there are also groups of friends and so on who will do nothing but relentlessly chase people down for no reason other than to sink them.
Also another issue is that on the forums the PvP crowd tends to be more vocally dominant. This is true of any game where involuntary PvP is a part of things, and they expect the 'sheep' PvErs to simply b*******r and take it in order to feed them the content that they specifically want.
While I've only experienced 2 chases so far, both were done by 2man sloop crews vs me as a solo player. One of them even completely ignored another sloop they passed by in order to specifically sink/kill me.
Simply put this game is relaxing and fun as heck during its best moments, but PvP brings out some of the worst moments which are highly irritating and kill the fun/mood. I do not enjoy wasting 20+ minutes of my time being chased by people who have nothing better to do than waste my playtime, especially after I spent 20-30 minutes just to get a bit of treasure to try and bring back to an outpost (only to see that every outpost around seems to be occupied). The worst part is that the folks who will chase after you typically just cashed in at an Outpost so they have literally nothing to lose other than their own time, so even if you sink/kill them they didn't lose anything.
It's also frustrating because PvP is designed solely to favor numbers. On one hand this makes outplays more amazing/invigorating but due to the mechanics of combat and how all crew sizes are limited in weapons that they can carry, it's hard to actually pull off against non-newb players.
So here's my proposal: add in "High Risk" or "Hardcore" servers that increase rewards (reputation + gold) by 100% but killing players after sinking their ship gives you 10-20% of their accrued gold. Then have a "Low Risk" or "Softcore" server type that is what the current game does - however, increase gold/rep gains by 50%. Then have a "No Risk" or "Casual" server type that doesn't have PvP and allows people to relax/enjoy the rest of the game without worry at normal progression rates. Could even add in exclusive cosmetics/titles for those willing to risk their neck in the most treacherous of waters.
'cause honestly I don't want to have to deal with the stupid feeling of paranoia all the time, or worrying constantly about running into other ships when I'm playing solo. The first 10-30 minutes of a SoT session are so relaxing and enjoyable until you inevitably spot another ship in the distance, and then it tends to go downhill from there and become needlessly stressful for those who do not wish to partake in PvP 24/7. PvP brings absolutely nothing productive to this game beyond purposely interrupting the PvE side and wasting time for those who do not want to deal with it. Not to mention it brings in a much more toxic community environment where people shoot down any complaints/concerns revolving around the damage PvP does to folks who are just trying to have fun playing the actual game. This forum is already a prime example of the toxicity spreading from PvPers who don't want to lose their precious sheep to slaughter.