I can't believe we're even arguing which player had more team support. The Red Wings are easily the best overall organization of the past 20 years, by pretty much any measure you could come up with.
But, for the sake of argument...
Top-10 scoring finishes by Bourque's teammates during his career:
1982-83 - Barry Pederson (t-5)
1983-84 - Barry Pederson (6), Rick Middleton (10)
1986-87 - Raymond Bourque (t-9)
1992-93 - Adam Oates (3)
1993-94 - Adam Oates (3)
1997-98 - Jason Allison (9)
2000-01 - Joe Sakic (2), Peter Forsberg (9)
Top-10 scoring finishes by Lidstrom's teammates during his career:
1991-92 - Steve Yzerman (8)
1992-93 - Steve Yzerman (3)
1993-94 - Sergei Fedorov (2)
1994-95 - Paul Coffey (7)
1995-96 - Sergei Fedorov (9)
1996-97 - Brendan Shanahan (10)
1999-00 - Steve Yzerman (10)
2007-08 - Pavel Datsyuk (4), Henrik Zetterberg (8)
2008-09 - Pavel Datsyuk (4)
2010-11 - Henrik Zetterberg (9)
2011-12 - Pavel Datsyuk (t-6) as of 1/19/12
Team scoring finishes for Bourque:
Season finishes - 5, 9, 9, 5, 7, 12, 12, 6, 7, 14, 11, 5, 13, 8, 8, 9, 4, 15, 12, 13, 23/11, 4
Average & Median are both 9*
Team scoring finishes for Lidstrom:
Season finishes - 4, 1, 1, 3, 3, 6, 2, 3, 1, 5, 2, 1, 2, 2, 10, 3, 1, 14, 2, 4 as of 1/19/12
Average is 3, Median is 2*
*Not counting Bourque's Boston/Colorado season or Lidstrom's incomplete 2012, for the sake of simplicity. This is a slight advantage to Lidstrom.
Postseason recognition given to Bourque's teammates:
1981-82 - Kasper (Selke), Middleton (Byng), Middleton (2nd AS)
1982-83 - Peeters (Vezina), Peeters (1st AS)
1987-88 - Neely (2nd AS)
1989-90 - Neely (2nd AS)
1990-91 - Neely (2nd AS)
1993-94 - Neely (2nd AS)
1997-98 - Samsonov (Calder)
1998-99 - Dafoe (2nd AS)
2000-01 - Joe Sakic (1st AS), Rob Blake (1st AS, only 14 games w/ Colorado)
Postseason recognition given to Lidstrom's teammates:
1993-94 - Fedorov (Hart), Fedorov (Pearson/Lindsay), Fedorov (Selke), Fedorov (1st AS)
1994-95 - Coffey (Norris), Coffey (1st AS)
1995-96 - Fedorov (Selke), Konstantinov (2nd AS), Osgood (2nd AS)
1996-97 - Vernon (Smythe)
1997-98 - Yzerman (Smythe)
1999-00 - Yzerman (Selke), Yzerman (1st AS), Shanahan (1st AS)
2001-02 - Shanahan (2nd AS)
2003-04 - Draper (Selke)
2005-06 - Datsyuk (Byng)
2006-07 - Datsyuk (Byng)
2007-08 - Zetterberg (Smythe), Zetterberg (2nd AS), Datsyuk (Selke), Datsyuk (Byng)
2008-09 - Datsyuk (Selke), Datsyuk (Byng), Datsyuk (2nd AS)
2009-10 - Datsyuk (Selke)
Top-3 Hart finishes by teammates
Bourque
1982-83 - Peeters (2)
1986-97 - Bourque (2)
1989-90 - Bourque (2)
Listrom
1993-94 - Fedorov (1)
2008-09 - Datsyuk (3)
The gap isn't night-and-day enormous, but it is very noticeable. Lidstrom's teams were much more prolific offensively. Look at both the team and individual scoring finishes. Lidstrom has a definite and unquestionable advantage in team scoring support.
There's also an obvious difference in postseason accolades. Bourque basically had one good year of Kaspar and Middleton, one year in Colorado, and a nice run of 2nd AS's from Neely. Aside from that, his teammate recognition was extremely limited. Lidstrom enjoyed dominant seasons from three different forward teammates (Fedorov, Yzerman and Datsyuk), and had 8 different teammates win recognition not counting goalies.
Earlier in the thread, it was pretty conclusively shown that Bourque had an advantage in offensive production no matter how we distorted the stats. Here, it's pretty conclusive that Bourque was at a clear team-related disadvantage. It's impossible to make a coherent, objective argument other than Bourque having done more with less help in the offensive end than Lidstrom. Maybe you could qualify it with era-related adjustments to say the gap wasn't as large as it appears, but the gap is definitely there.