33s will give you the same under axle clearance as most Defenders, so might help, dependant on where you off-road.
You mentioned using Insa Turbo tyres - but that's just a brand name of a company that make a significant range of tyres with varying compromises for off-road use.
The typical extreme off-road variant is the Special track - which is great off-road in mud, but not great on-road as the gaps between the tyre blocks are huge for optimum mud clearing, but reduce the rubber in contact with the road by maybe 40% compared to an All Terrain or fully road biassed tyre.
I use Special Tracks on my D2 for off-road competition. They can get very scary on-road if it's wet or the temperature is low.
In mud, they're good, but there are even more extreme patterns out there which are better under some conditions as they act even more like paddles - giving straight line grip, but worse grip on side slopes / big cambers.
It's important to lower the pressures to allow the tread to flex off-road, helping the tyre displace mud - but be ready to increase back up to road pressures to be less scary on road. I don't go below 22 psi (a limit set for competition), but even then the tyre bead gets pushed off the rim occasionally.