Consultant neurologists are a likely to have their own opinion on what is going to happen with medicines as anyone else, and probably as little real knowlege as anyone else too.
Using what IS in the public domain as a basis for conjecture, plus the assumption that professionals will all be doing their level best to make sure that patients suffer as little as possible, I will make a few predictions -
There are probably as many medicines already stockpiled as can be practically collected and stored. Some of those stocks will have been used up during the delays. The manufacturers may not have replaced their own stockpiled stores, depleted in the first rush to order in large consignments, so another wave of massive orders may or may not be successful, depending on production levels.
Delivery of medications to the UK from abroad, either from EU countries or from non-EU ones, relies on transport routed being clear for speedy transit and on customs formalities not slowing down progress. As many other types of goods will also be going along the transport routes and undergoing customs checks, there may be, as predicted by Govt sources, be delays at ports and other entry points. We are dependent on these being kept moving and delays being at a minimum.
Keeping track of what goes in and out of the stockpiles, and using items in strict date order, will need a lot of manpower and a lot of care to avoid issuing new deliveries before short-dated items. We depend on that manpower and the stock control systems.
Many medical items need to be stored under refrigeration refrigeration. We depend on there being enough reliable refrigeration in the storage facilities.
Stockpiling is certain to be happening at all kinds of levels - by distributors, by pharmacy warehouses, by individual pharmacy outlets, by hospital and GP drug storecupboards, by individual patients. That takes up stocks of items multiple times, adding to the amount that needs to come into the country.
If you pile all these variables one on top of the other, what do you get? Several "What if . . " pinch points where problems and delays could occur. A very clear impression that no-one can state categorically that, "it will all be OK" - it may not be!
If you rely on regular medication, be prepared. There is time before Hallowe'en to get at least one repeat prescription ahead, more if lack of the medication would be life-threatening. Ask your GP or pharmacist where your medicine is manufactured, and if it is imported whether there is an alternative that is made in a UK laboratory.
This is not hysteria or panic, it is simple common sense.