I did see that the igniters on it require 120V power to operate. I suspect you likely could use the rangetop when off-grid (and without using an inverter) if you lit them with a match or lighter, but it would be a good idea to verify that. It would be wise to also verify required clearances from walls, etc. as this seems to be a residential rather than an RV cooktop and the spacing needed may be more than you have (or possibly you may need to add a noncombustible barrier such as perhaps a ceramic tile backsplash).
Also being a residential unit, I would expect the grates and perhaps burner units to be quite prone to rattling and jostling loose when on the road. I suppose the rattling is mainly a concern in a motorhome, but coming loose and bonking about the kitchen area is potentially problematic in any RV.