I can see where your idea came from ... as a sales and marketing person I've been presented with many 'great' ideas that came about as a result of someone facing a personal difficulty ... without being too negative about what you are proposing you should really consider what you envisage in the wider context of the market place and the potential 'clients' you wish to attract.
Getting any group of beekeepers to join together to achieve a greater good is nigh impossible from what I have seen ... getting people to subscribe to an App may be equally challenging - particularly as some of the perceived benefits are, or at least appear, to be solving very localised problems.
Whilst the numbers of swarms collected or the incidence of crop spraying may be collatable statistics they are only going to be valid if they encompass the whole of the pie. Piecemeal information would be of little or no benefit - indeed - even if we had the whole picture and every beekeeper subscribed - is the information it provides of any real importance or significance to beekeepers at ground level ? To an academic, perhaps, but what would they be able to tell from it that we don't already have some idea about. Even if you could demonstrate that crop spraying is anathema to our honey bees - you would be hard pushed to change our farming ways unless there was a viable alternative. Bear in mind that, in me, you are preaching to the converted in terms of natural agriculture and animal husbandry - think what an uphill battle it would be for those who are less concerned.
I can see the benefit of a national swarm collection scheme but - don't we already have this covered via the BBKA and local associations ?... Most swarms get collected but even if they don't - the bees find somewhere to live, it's not a loss.
The BBKA and local associations could be more joined up - I'm not a great fan of the BBKA but they are there, established and with some good intentions. They have a swarm collectors page on their website, I put in my postcode and I get 19 swarm collectors within a 10 mile radius, with contact telephone numbers - there is guidance on there to enable/assist Joe Public to identify honeybees - it could be better but, if I was a non beekeeper that had a swarm that needed attention, I think I would be phoning the nearest collector rather than posting a request on an App ... but perhaps I'm the odd one out ?
Be very careful that you are not investing time and potentially money in a good idea that nobody (apart from you) wants or more importantly needs.
To quote a well worn phrase from Dragons Den ... I won't be investing and I'm out ... sorry.