Try fw$chisqpvalue
. That will give you the p-value associated with the chi-squared statistic.
Note: From the documentation, it appears the A-D test, and KS test are only run if you have continuous data.
EDIT:
Didn't notice that fw$ad
, etc. gave only the test statistic.
EDIT 2: Hmm, after searching for quite a while, the only other thing I can find is the possible alternatives of using dgof instead. If you can get your data in the right format, that would hopefully give you the right p-vals for KS and CVM given your distribution, but I can't find anything for the A-D test with R.
You could also alternatively try emailing the author of fitdistrplus
and suggest a change that the function return p-values as well?
Other than that, I don't think there is any way to directly extract/calculate the p-values, short of reading the paper the tests are based on and creating your own function. Sorry I couldn't be of more help.