I've been working on this game for 4 months now, it is almost ready for publishing, I have another released game which didn't have great success because I don't have the $$ to make a great advertisement, also the game was very raw/not polished.

This one had an special treatment, it is a rogue like which can be beaten in 20 minutes in a perfect run, but that is probably not happening in the first tries, so I would assume 2/3 hours of gameplay would be necessary to understand the mechanics and beat the game.

Pricing would be low (around $4 if released by myself) and there is a "replayability" which can make the game last longer.

My question is:

Would a publisher make a difference for me? On Steam the game has 100 wish lists, but I know this doesn't mean anything since the price isn't there yet. How beneficial would it be to find a publisher? Also, is it hard for a publisher to accept my game? 

Please share your experiences, thank you.

I would recommend a publisher definitely they make things way better as well as promote your game a lot more but getting a publisher it is not that easy You usually have to make a pitch deck get a bunch of info on your game I have published one game before with a publisher I am assuming it is an indie game since you are on itch.io for indie games some of the best publishers are: Team17,  Devolver Digital, and Graffiti Games

I am interested in your game do you think you can send me the steam link please?

The problem here is that you can't really answer this question clearly.

Sure, a publisher can make a huge difference for your game, if the publisher in question is able to reliably get press coverage for their games, can port your game to other platform and also fund its development.

However, the pool of publishers who are actually able to do all these things is fairly small and getting signed by them is not easy. Larger indie publishers at this point are oftentimes looking for very specific games, that very often already either have additional financial backing, or have themselves generated a certain degree of public interest. That doesn't mean, that you shouldn't try pitching your game to them, but be aware that you might get rejected, even if your game is actually good.

The problem really starts with those indie publishers who are below that upper tier of companies, because the smaller the publisher in question, the higher the chance that you won't get anything in return for signing with them, aside from them taking 30-50% of your game's earnings.

How do you figure out which publisher might be worth your time? Look through their games catalogue and if they have released games on Steam, look at how many reviews each title has gotten. If the vast majority of their games has less than 100 reviews, I would say they are not worth your time, unless they give you money upfront (which they probably won't btw). This might change a tiny bit, if said publisher also offers to port your game to consoles, because there's still a certain degree of legitimacy that comes with that (at least that's what someone who knows more about this stuff told me), but still don't expect to get much money out of that arrangement.

And just more thing: If you want to have some kind of chance for people to actually find and buy your game on Steam, wait with releasing it, until it has at least 500-1000 Wishlists. That number still won't get you on the frontpage, but that way at least you can guarantee that you'll get a good number of sold copies, and hopefully enough reviews to get over that 10 positive review threshold.