@cs3000
According to the first link you posted, forskolin dephosphorylates the androgen receptor, not phosphorylates. There is an increase in the 110 kDa AR isoform and a decrease in the 112 kDa AR isoform. The latter is the phosphorylated isoform.
Specifically, it was with the phosphorylation of serines 641 and 653 that Forskolin interfered.
When the dephosphorylated AR was analyzed in terms of its transcriptional activity, it was observed that the regulation of two genes: PSA and the beta 1-subunit of Na,K-ATPase was inhibited relative to control.
They also claim that the 110kDa AR had only 40% of the maximum ligand binding of the 112kDa phosphorylated AR. I suppose that means that its ligands (androgens) did not bind as effectively to the dephosphorylated AR, thus limiting the amount of gene transcription that androgens could cause relative to interaction with the 112kDa isoform.
Now, that all looks quite troubling, except that the AR has a half life of only a few hours. So, if you take Forskolin, it seems consistent with what we know that the AR that your cells synthesize within a few hours of peak serum levels will be the 110kDa isoform, but that doesn't mean that the next AR that is synthesized will not be the 112kDa isoform.
Increased cAMP also turns on genes associated with ramping up steroid hormone production, so the net outcome is ... who knows
That's why we need people to actually try it and report back. You will never be able to figure out the net effect on paper alone.