Of course they'll pay you more.
When you waive credits, you likely waive receiving residuals.
That's where the money is.
Whenever a show airs
It's part of why the WGA (Writers' Guild of America) is on strike.
For material which involves a writer and is somehow transported via the Internet; or, some form of technology not yet available, the AMPTP wants to have six weeks (minimum) of free use, pay the writers a fixed sum of $250-$500, and have free use thereafter.
If this is not part of the contract, the AMPTP will run everything possible through the media which provides no compensation so they owe nothing.
Why is this a big deal? No matter how much you think TV might suck, imagine any show you even half-like sink into the toilet because the people they are able to hire have no ability to do so. Right now, writers
can
work on reality shows and game shows. I know people who won't do it because of the principle.
The WGA has always been at the bargaining table. It's the AMPTP who has walked away, time after time, after time. At one point, they basically said, "remove everything from the table you are requesting and we'll sign the contract." In other words, we'll sign a contract just to let things move forward, but you won't get anything in return. cough gag choke
see: Tom Hanks - not WGA, but SAG, and the SAG has a contract to renew before much longer:
"
I just hope that the big guys who make big decisions up high in their corporate boardrooms and what not get down to honest bargaining and everyone can get back to work
."
http://www.reuters.com/article/lifestyleMolt/idUSL1090411720080110
e.g.
p.s.
I am not in the WGA and I currently stand to gain nothing from the current or proposed contracts.

My Trunk Monkey can beat up your Trunk Monkey

I spoke with a part time film actor once who also got no credits. he explained the rule of thumb is if you waive credits the producers will pay you more as compensation for missing out of the publicity factor.
I took it to mean the leading actors get still more prominence as the credits roll, ie not all cluttered up with every tom dick and harry.
personally I would want my name everywhere I could get it, banking on future recognition and work as compensation.

I see it on the list, I don't know if you added it or what but it is there under #24.

She wasn't a regular cast member until 1994. she is credited in the first season episodes as a guest star.

Shes a really good actress she should be credited for all her work. Granted, I didnt see this movie but I'm sure she was great!

I don't know. But did you notice IMDB doesn't credit her for the first season of NYPD Blue (1993)? She was in the very first episode.