This seems another 'rule' that is broken so commonly it smacks of baseless prescriptivism.
Confronted with a case involving a clattering air conditioner, Cosimo
Caccavari, the city's top acoustician, asked the owner to draw a floor
plan of his house. Then Caccavari suggested moving the air
conditioner to another location where it would not face any near
Note that you only propose doing actions* that you yourself will be involved in. Daisy proposed moving to New York.
-- "The London office was generally a pleasant place to work, except for John who was an arsehole and always had been. When John announced that he was thinking of moving house, Daisy proposed/suggested/urged/recommended, etc., moving to ...