The challenge will be recharge time with most power pack approaches - most folks who go whole hog gas replacement tend to use large fixed LiFePo for this reason.
Assuming you run it to 80% stated capacity (you never want to run them to cutoff and this also accounts for some inverter losses) you're likely to see just under half an hour runtime at full 1800w.
To recharge you are going to have to buy additional cables - either the offical car charging cable (limits your rate usually to around 100w) or an additional solar charging cable (assuming you want to keep to one in the box for actual solar charging use) - using the solar cable should make it charge at full solar rate, the trick is to wire it through a suitable fuse to your leisure battery and that should give you around 250w. Roughly that means 30 minutes of 240v requires 10 hours of charging (official car cable) or 4 hours (adapted solar cable)
I note you have a distinct and very valid reason for wanting to do this, if your use case is occasional use in between EHU points it's likely to work and you have good options in an induction hob and airfrier.
My only thought, and I'm a fan of Bluetti and have 2 of them, for around the same money you can get the equivalent rated EcoFlow Delta 3 via Costco at a really good price - it's a bit more but the EcoFlow has much more flexibility to do useful things in the house like programme it charge on cheap overnight rates and run appliacnes in the day - and that may mean you get more use out of it away from the van as well or if it doesn't work out. The Bluetti App is neat, but at this price point for that brand it's essentially all manual control. In the EcoFlow case I think you get the car cable bundled and the solar cable is extra - but the battery expansion port also offers the future option of expansion batteries or a dedicated vehcial fast charger.
I've been very tempted by both, and I think if I pulled the trigger I'd go EcoFlow this time, just don't quite have the kit fund right now sadly.
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