Of course the number that really needs to be used is accidents per flight hour and then you can take a wider view across other aircraft types. In that we do have some reasonable data that was published in this report of 2009.
https://www.caa.co.uk/publication/download/13979
It reflects that that the fatalities per flight hour in 1989-1991 was "6 fatalities per 1000 hours of flying time during this period for this type (compared to 0.015 per 1000 flying hours for general aviation). Given the small number of aircraft of this type registered in the UK, this was clearly an unacceptable situation" [page 1 of the report under point 1.1].
Now we might scoff that this was something of a high water mark, coming from the number of UK Air Command fatalities this being the final straw and from that point all Air Command permits to fly were suspended.
The accident to G-BPFW is particularly inconvenient because in that report you will read that the student pilot did training in a gyroglider and short hops, ground handling etc. although he had only 2 hours on the Air Command prior to his fatal flight. The assumption was that PIO was causal but there was some doubt over the mechanical integrity of the aircraft but nothing conclusive as regards the accident.
It was this final straw that led to a UK training syllabus and it is therefore unsurprising that the focus was upon general handling and upper airwork. There have been almost no [UK] aircraft mis-handled in the way that was more common previously, ironically the last one is still to be reported upon but happened to a UK student Cavalon pilot, also with 2 hours solo time.
What is very clear to me - and I used to train pilots in the UK - is that the syllabus is a mess, and for the accidents we are having today largely irrelevant. We spend a huge amount of time teaching cross country navigation for example with a chart, pen, flight "computer", drift, blah. All great stuff in time but when most use a tablet app, then perhaps we might be persuaded to focus on the basics first and look at the nav later.
Not saying it isn't relevant at all - because it is very relevant if you are poking off cross country - but most students can be happy within 30mins of a home airfield for the first 50hours building general handling skills.
The other confusion is our obsession [UK] with being able to exploit the full range of the gyroplanes features. I happen to be able to fly aerobatics but I don't expect my hour 1 PPL(A) pilot to be able to turn an aircraft upside down, nor do I expect he might be able to fly a single seat high performance taildragger. Yet in gyroplanes we expect our hour 1 pilot - and I say expect because it is part of the skills test - to land within a certain tolerance of a chosen point when we are landing on 1,2, sometimes 3KM long runways. We have flight into confined areas tested..
Now of course flying accurately is a great thing and at times a necessary thing but again I argue that we do not spend anywhere near long enough on the take off phase or within a range of aircraft - because in the UK perhaps I train on one aircraft, fly something different once my test is passed - and there the detail of training is certainly lost.
The other area of UK specific issue is our weather. Pretty much from now until March flying in the UK is limited because the wx is generally poor. That means our new pilots effectively have 5 months off per year. That isn't good for recency.
Finally the other huge area of issue is that flying requires a deeper commitment than passing a test and having a go once in a while. For all manner of time constraints modern life limits that.
In a nutshell UK / US is likely similar because while the US does not have the same training requirements - the UK training is so widely spread across all subjects that take offs and their specific snags are somewhat limited.
One thing we can see however is Magni take off accidents are limited....