Yes, sundews DO use the watering tray method(just like VFTs)
Here is a reference:
Plants that like being stood in water at ALL times
the only exception is during dormacy, when the plants should be kept drier)
Dionea muscipula(venus flytrap)
Drosera(sundews)
Darlingtonia californica(cobra lily)
Terrestial Utricularia(terrestrial blladerworts)
Sarraccenia(pitcher plants)
Pinguicula(butterworts)
Genlisea(corkscrew plant)
Plants that like being stood in water, but they like to let the tray evaporate first, after the tray evaporates, wait about a day then add more.
Ephythitic/tropical Utricularia(ephthitic/tropical blladerworts)
Cephalotus follicullaris(Albany pitcher)
Plants that HATE being stood in water(it could even kill them)
Nepenthes(Tropical pitcher plants)
Im not sure about the following:
Heliamohora(sun pitchers)
Drosophyllum(dewy pine)
Hope this helps!
Dino