J23 Truck Stop (Leicester)

OK went in there today
Saw the road into the industrial estate had some double yellow lined areas and no parking bays but not a lot of trucks parked outside the truck stop

As you drive in there is a big big turning area that turns right onto the industrial estate
With big advertising banister for the truck stop on the fence
In that area there is room to park an artic snug up to the fence with out causing an obstruction
There are No ‘no parking’ sings displayed and there are no yellow lines there as well
So what is to stop me parking there in the first place? Well the truck stop!
I went in and asked them about parking on the estate and there answer was No! Its a private estate and you will just get towed away

So I put my question to some local lads and those that know the site well
What will happen if I decide to park there?