Many great actors have been known to take on sub standard work, not caring one jot about the effect it has on their reputation, so I shouldn't think Lindsay's bothered at all. Most actors like to work, and if it spoils their body of work in some fans' eyes, I don't think they care at all.
On the other hand, there are some pretty small name/unknown actors who get a bit precious about what they take on, wanting only to do certain directors' films or independent films. Their reputation with fans and critics can be high, but they are hardly heard of in the street. Personally, I think real, great actors are happy to mix it up and star in less great or even rank bad films. Some, like Burton and Caine went looking for them, I believe.