The interior of the boat would be constantly heated so I don't see an issue with cooking causing condensation
Warm, moist air, condensing on ice-cold, un-insulated hull sides, and single pane windows (almost the entire cabin is window)is the cause of the problem. unless the cabin is kept at temps exceeding what most would find acceptable, there will be condensation. Leaving a boat in all winter isn't the problem as that can be done, even using it for the occasional overnite, maybe.
The boat's heater just doesn't have the output to heat the boat in temps that low, it's sized to take the "chill off a Pacific Northwest overnite. Running it 24/7 at max output for 4-5 months...I just don't know. Relying on electric space heaters at 1500 watts per the several you'll need may overtax the shore power supply and that's a breaker you don't want to pop in the middle of the night
I only mention this because I've known 3 people that wintered on their boats, One (38 foot Silverton) enjoyed it (San Diego...duh), One (30 foot catalina) almost froze (Sacramento area) and spent several weeks living in my and other's guest rooms), and one couple(50 foot Irwin center cockpit) with 2 diesel furnaces, and 8 spaces heaters constantly running, plus 20 years of full time cruising experience behind them barely made it through(Lewiston**).
** here we get an almost snow-free 3 month winter. The golf courses stay open year-round except for the odd snowday. Daily highs will usually be above zero, but it can get cold for several weeks (Jan is the only month that may average below zero for the overnite low).
If you do it, you need to find a way to insulate the cabin (over most of the windows as well) from the outside (maybe blueboard and shrink wrap?).
Anyway...that's it for my input. If you do it be prepared for record snows and lows, and best of luck.