That assumes Arsenal will win whenever Liverpool loses. I think last season or the season before that shows that Arsenal struggle to close the gap when it matters. They need to win every game to make sure they can win the title. Being complacent and believing that your competitor will slip up because you did is not really good. That being said, I think this applies to every team, not necessarily Arsenal only.
Yes, of course, all teams have improved their respective team conditions with a level of confidence in their efforts to win the title. With the support of new players, of course Arsenal will be even better with adequate quality in all lines. Because in reality, the initial foundation is much better when facing the next match, of course, that is what is being implemented at Arsenal now.
Despite many teams have improved doesn't mean people don't know the team that will win the title, base on their starting from first, second and third match, we have see teams with highest points and goals in this premier League tournament that convinced some people to see Chelsea and Liverpool the two team that will play the final match this season, talking about Arsenal in this tournament, I don't think their new players will assist the team to repeat second position in the premier League tournament because they are lacking in the area of forward players which is the reason behind their failure in the home of Liverpool, I don't know if Arsenal will make a good turn back to win their next match to prove to people that they have put more effort to challenge any teams in the remaining matches.