Yes but ..
Ok first I am not a lawyer just read a lot on boards / sites.
My understanding is that with an EAD there is no restriction on work. You are legally entitled to do any kind of work without being in violation of working illegally.
Now, if you got your EAD through Employment Based application, then the primary applicant really should work either at the original employer (who petitioned) or in a job that is similar a category as the original Labor Cert (using AC21 180 day rule). INS can ask at any time for primary applicant to provide evidence of employment.
INS does not care what kind of work derivative applicants (spouses, children) do with their EAD.
So, if your wife is the derivative applicant of the AOS application and she has an EAD, she should be able to legally work from home.
Remember EADs are basially INS authorization to work in the US. There are no restrictions as to the type of legal jobs you can do. Its just that EB primary applicants of AOS want to make sure they either stay with original employer if they can or use AC21 180 rule to change jobs.