Batman adaptations have no running continuity from one era and/or studio to another, so there's no cultural investment / importance of casting that matches something on the level of TOS.
With Bond, some recasting choices were so bad, few have anything to say about it--other than the fact a superior actor was replaced. To this day, many Bond fans issue a collective groan just mentioning "Roger Moore." On the other hand, its not a stretch to say Connery remains the most representative, iconic face of the filmed character--one all others are judged against. That's how powerful the Connery portrayal is in the popular culture. TOS actors are (arguably) more associated with the mere thought of TOS.
The other thing to remember is TOS is not an adaptation. Batman, Bond, Holmes...none of their filmed versions are the original in the first place. Shatner is as responsible for the original Kirk as any of the myriad writers. He's also the base template for Starfleet captains...hence the way Kirk is brought up every time there's a new guy in a new centre seat. That's something you also see to a lesser respect with Spock..largely because his character archetype descendants are in very different positions usually.