Remember that the Hawks would not have Macauley or Cliff Hagan (their guy who always came up big in the playoffs) because that was the price Boston paid them for the right to draft Russell.
I assumed the trade was made, and then Russell got hurt, so the Celtics would not have Macauley or Hagan, and the league would be exactly the same.
So
1957- The Celtics had the best record at 16-8 before Russell showed up, playing about 1/2 their games at home, and in a very balanced league. I'll say the stay the best team and WIN
1958- they lost with Russell hurt, so the lose, but they lost the 2 games without Russell by 1 and 2 points, so it's pretty darn close LOSE
1959- They get lucky that the St Louis Hawks lose to the 33-39 Lakers. The Celtics beat a 35-37 Syracuse team and a 33-39 Lakers team, even without Russell WIN TITLE #2
1960- Wilt arrives, and the Celtics have no one to guard him so WILT wins his first title
1961-Heinsohn and Sam Jones lead a strong offense - WIlt loses to Syracuse, so the Celtics make the finals but PETTIT wins a second title.
1962-Wilt scores 50 a game, which is too much for the Celtics and for the Lakers, WILT wins second title.
1963 - Oscar Roberston took Celtics to 7 games in real life; in this universe they beat Celts but WEST/BAYLOR get title #1.
1964- With Havlicek and Sam Jones, I'll say the Celtics get revenge on Cincinnati and face Wilt and San Fran in the final. With Clyde Lovellette on the team, they upset the Warriors and get TITLE #3
1965 -Wilt gets traded to 76ers - in real life it went 7 - in this world Wilt wins and beats Lakers for WILT's 3rd
1966 - Wilt beats Celts again, but WEST/BAYLOR who almost beat Celts in real life get TITLE# #2
1967 - Wilt won in real life, no change here
1968 - Wilt wins in this world TITLE #5
1969 - Kind of weird that Wilt gets traded after 5 titles, but I'm keeping everything else the same, so he goes to LA
Lakers beat Knicks in finals so WILT gets 6 titles, WEST/BAYLOR 3.
Wilt gets one more title in 72, giving him 7, West 4, Baylor 3, Pettit 2 - The Celtics get 3 here.
So, even though he played with a loaded team as the detractors would say, Russell still puts this team over the hump 8 times. It's going to be a strong case as I make up an all-time list.