It rather depends on where the graphical tools obtain their data. Until recently most of them worked by parsing the free-form text that forms the "E" line of the NOTAM message. This is because the "Q" Line, which IS to a defined format was not available via the AIS website. NotamPlot was an exception because it derived its data from AvBrief, which included the "Q" Line.
As a result of lobbying from me and others the "Q" line is now included in the AIS briefs, opening the way for graphical plotting tools to use it.
ICAO, who define the NOTAM format, designed the "Q" Line specifically for Electronic Data Processing (though I doubt they envisaged plotting at the time).
Art 52 of the ANO 2005 is the relevant bit of legislation:-
Pre-flight action by commander of aircraft
52 The commander of an aircraft registered in the United Kingdom shall take all reasonable steps to satisfy himself before the aircraft takes off:
(a) that the flight can safely be made, taking into account the latest information available as to the route and aerodrome to be used, the weather reports and forecasts available and any alternative course of action
How he does it is up to him. If you want to use a graphical plotting tool it's up to you to ensure that it does the job. As a first step I'd suggest you check where the data used to do the plotting comes from.
A problem with the ICAO format is that the "Q" line only includes a centre point and Radius of Influence (RoI). This enables a circle to be drawn that encompasses (but does not define) the area within which the activity takes place. This is why refuelling exercises over the North Sea get a big RoI. They fly up and down in a long straight line, which requires a big circle to enclose it. While the "E" Line may include the co-ordinates there is not a standard for the way in which they are presented and therefore a risk that automated plotting systems may not be able to accurately plot them.