The politics of leave or remain or a PV are kind of irrelevant at this point. It doesn't matter what you want to happen.
The issue here is to do with what happens in a no deal situation. And whether the government have sufficient capability to manage it. I think you can be a Leaver and still have real concerns in that regard. The government's track record on delivering large scale projects on time under any political party has been somewhat less than perfect over the last 20 years.
Supply chains and any possible disruptions to supply chains are going to have the same universal effect, and frankly NO ONE knows how they will be affected in practice simply because its not been tested in practice. That said there are going to be people who are more able to cope and those who are more at risk IF the government fuck it up.
Matt Hancock's current position is that there will be enough medical supplies IF things go to plan. But what if they don't? He is nervous enough to put the if in the sentence. When there is doubt from the Cabinet itself, I think considering possible issues that might particularly affect you us wise. It does stop you being either pro Brexit or pro remain or pro 2nd Ref. It makes you conscious that there are serious logistical challenges that no deal would present.
Think about where you are in terms of supply chains. More rural areas may face greater delays if they are not seen as priorities. The large number of people in town and cities means that if there are shortages there may be more unrest if they are not prioritised first. More rural areas might have food closer to them in principle but that doesn't mean it will be available to locals.
Also if you have certain dietary problems, making sure you are well on top of your essentials isn't a stupid thing to do. Just don't fill your house with tinned sardines you would never normally eat!
A healthy dose of reality over supply chains is really not a bad thing. If you are into animal welfare, supporting your country, considering the environment etc. The issue is that this does come with a price tag, which not everyone can afford and a sudden shock to the system can't avoid prices - at very least in the short term - being at risk of being highly volitile and unpredictable.
It also is worth saying that when you stock up your own cupboard, if you can help stock up a local food bank, that's also could be extremely valuable. Anything that effectively helps to 'warehouse' over the next few weeks and before we start getting to a couple of weeks before and the penny starts to drop with the public at large that it might not be as easy and smooth and uneventful as some say.
I genuinely hope none of this comes to pass, but I ask the question of whether I can take that risk and believe it will all be OK. And since I'm not a gambler, I'd prefer to hedge my bets and make sure I could last a while before it starts to become a real concern. Its not about being right or wrong, it's about ensuring I'm not caught short.
The whole thing with Brexit is its a system shock. That alone should make you think that there will be SOME problems. They might be what we think they will be. Or they could be something completely unforeseen. Or both. The idea there won't be, is not to understand what Brexit is.