There isn't a simple answer here. I think that the 'norm' is changing as the hurdy-gurdy evolves, and new players show what can be done, and makers devise more ways to increase the flexibility of the instrument. My personal opinion is that the traditional instrument (ie without capos or multiple trompettes etc) like I have, is best played in it's home keys. Tuning strings up and down is just too much of a faff for me - the re-tuned string tends to be either too loud or soft, and takes a while to settle down. When I play Ciapa Rousa, which I really like too, I play it in D minor (as I have a D/G instrument) and I do my best to persuade fellow musicians to join me in this key. (I will have one or two D gros bourdons and a D trompette on as well). It is a nice surprise to find a C/F melodeon in a session!
If I was in a session and the tune was played in E minor, I would join in but without bothering with any drones. At some stage I will experiment with a trompette capo but I haven't explored that yet.
The situation is quite different with the modern instruments and there you have a lot more choice as to which strings you fit and a myriad of capo options. This does mean that bands can play in a wider variety of keys, which is better musically, but as I haven't got one, I rather accept the limitations of the instrument rather than struggle to accommodate other keys. I also take a mandolin with me to sessions which helps!
good luck finding what works for you!