I have a dehumidifier running in my rig and in the summer at home, under a carport it collects almost a gallon on a humid day. I would be a little skeptical of letting it collect in my grey tanks even tied together.
When I run my ac in there the dehumidifier does not even run that often anyhow. I have a relative humidity meter and it tracks with the dehumidifiers meter of about 50% humidity. We hardly ever run them at the same time.
2011- 351RLTS Eagle, MorRyde suspension/pin box,
2017- F350 6.7 PSD Lariat FX4,SRW, SB,CC
Hughes PWD SP-50A, TST TPMS
Gator roll-up bed cover
B&W Turnover ball, Andersen Ultimate 3220
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