Are commercial vehicles allowed on site?

Hi All

New to the club, just been converted from tenting to buying our first caravan. 

Looking to book a short weekend break locally to test out the caravan etc. But noticed a lot of sites state they don’t accept commercial vehicles or sign written vehicles. 

I own and run a small business with a sign written 2011 crew cab Vauxhall Vivaro advertising my business. This is the vehicle that I intend to tow my caravan as our other car is too small to tow. 

For the past 4 years we have visited sites with the van (without sign writting) with our tent and never had any issues or even noticed this rule. During this season we have travelled with the van but now fully sign written visited 5 sites without issue but last one wasn’t happy and insisted I park vehicle in the car park. The warden explained they don’t allow commercial vehicles on site but didn’t give any reason and I didn’t really ask as it wasn’t a major problem for me.

Now I’m aware of this I have noticed a lot of sites have this rule. 

My question is have I fallen at the first hurdle in terms of being able to tow my caravan with my van?

We have only just bought our smaller car so not really looking nor can afford to buy anything bigger to tow with.

Thanks in advance for any advice/guidance/suggestions.

Neil