Yes, unless the motorhome exceeds 3.5 tonnes total permissible weight a e-vignette is required according to their category.
Vehicles (and vehicle + trailer combinations) that have a total permissible weight of over 3.5 tonnes use the distance based toll system (HU-GO).
You can order your Hungarian e-vignette now comfortably here.
Related articles:
What vehicles need a Hungarian motorway vignette?
Which roads require a Hungarian e-vignette?
What different types of the Hungarian motorway e-vignette are available?
Where can I register for the HU-GO and get an OBU/ Route ticket?