What you say is really unuseful because if we still have to pay for transaction accelerate, than simply pay needed fees and everything will went smooth.
Correct.
Pay a high enough fee and you won't have a problem. Unfortunately, it is possible to think you paid enough and then later discover that you need to pay more. That's way a miner "accelerator" with "acceleration fees" might help. Then you can pay more if you didn't pay enough in the beginning. I still think the RBF and CPFP wallet solutions would be better, but if the wallet creators don't do that, then this is another option.
Also if every main pool will offer us such service and like you say that those that pay the highest fee get confirmed quickly,
Correct. That is how bitcoin is designed to work. Those that pay the most get confirmed in the next block. Everyone else has to wait.
than that is against bitcoin users because everyone won't use that and they will get low confirm time with high fee.
Correct. If they want to get confirmed faster, they should pay more. That is how bitcoin is designed to work.