After seeing Liverpool losing in the Uefa Champions League and after seeing them losing the final of the carabao cup i start to think they has quite a good luck in this premier because they don't have to face any serious contender.
Manchester city normally stole the show but this year they are the worst versión of them in years.
I remind you how UCL is totally different with the league games. UCL is about how luck you're in beating your opponent in two games. It's different when it comes to the Premier League, which is a battle of consistency. Stop to think if those two competitions are the same.

Talking about Liverpool, they're facing all of big clubs in PL. How can you say they don't face any serious contender? They are not leading the competition if they're not chasing points from all of serious contender in PL.
You'er in PL where all participants are british club, not abroad clubs.

My view about the Champion League is different from yours because while you believe that it is based on luck, I believe luck is just a fraction of what helps a team, instead, preparations and experience are more important factors. For instance, there is no how a team that is very weak and inexperienced will beat a team like Real Madrid or Barcelona that have good experience in the Champions League and also have the squad to beat any team. This is the reason we often predict, with some level of accuracy, the team that will win a Champions League match using available data such as present form of the team, the team mentality, experience and other parameters and not really solely on luck.