Did Drew Barrymore really help break up Val Kilmer's marriage?

Val's wife, Joanne Whalley apparently named Drew Barrymore (who played one of Two-Face's henchwomen, Sugar) as an "other party" when she filed for divorce. It's discussed a bit below, when the question about why Joanne filed for divorce in the first place is asked:
https://www.filmboards.com/board/p/2001197/

https://www.filmboards.com/board/p/2001209/

https://www.independent.co.uk/news/people/profiles/joanne-whalley-a-star-is-reborn-324811.html

https://groups.google.com/forum/#!topic/alt.fan.val-kilmer/trZ7AeOedB4

Of course, Drew Barrymore denied that she had an affair with Val Kilmer:

https://www.sun-sentinel.com/news/fl-xpm-1997-05-18-9705160188-story.html

Hollywood's wild child has long admitted she is bisexual, but the 22-year-old movie star claims she has not been with another woman for more than two years. Currently, she says, she's strictly a one-man girl, the man being Luke Wilson, her costar in the upcoming flick Independence. Recently, Barrymore was named the "other woman" when Scarlett star Joanne Whalley divorced Val Kilmer, though Drew denies she had an affair with Kilmer during the making of Batman Forever.

https://www.tribute.ca/news/val-kilmer-accused-of-being-a-deadbeat-dad-after-failing-to-pay-child-support/2011/08/05/