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It sounds like she is just puffing. From what you say here, you have custody instead of her for one or more reasons and there appears to be no reason to change that.
The application for increase is separate from the custody issue altogether, so don't worry about that unless there are some other CUSTODY factors other than what you have said here.
Regarding the application, increases are granted if there are changed circumstances such as an increased need for support due to increases in the needs of supporting the children; along with a reduction in your income and/or an increase in hers.
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