Well, the alternator is out and I have made some discoveries along the way.
1. There are 2 (at least) variations of the alternator for the Fiat 500. One of the electrical connections has been changed significantly between the two variants.
2. There exists a socket that will allow removal of all 3 bolts using a ratchet handle on the Twinair but may be different for other engine variants.
3. Once unbolted the alternator can stay firmly in place seized on the mounting bushes, not even a hint of a wiggle when pulled to remove from location.
4. On the Fiat 500 Twinair 0.9 2011 the alternator (once freed from locating bushes) can easily be removed trough the space on the drivers side if you undo the clip for the aircon pipe. Absolutely NO NEED to try and prise it out past the subframe. I guess the Twinair engine is narrower then the others so there is more space at the sides. This part of the job took seconds.
1.To demonstrate the two types I have attached photos. Note that the connection for the field enable has changed from a ring terminal held in place by an M8 nut to a plug in connection on the later version. This makes it more difficult to disconnect on the earlier version. I freed the alternator before disconnecting mine because it was such a hassle and when the alternator fell the wire broke at the alternator ring terminal . It may have been broken before I started and when the alternator fell it came loose. This may indeed have been the cause of my charging problem as this is how the related box of electronics (CPU) turns the alternator on and off, which I think may have been a weak point hence the change in connectors. The ability to turn the alternator "off" probably reduces drag on the engine and thus reduces fuel consumption. It may even be a variable signal that actually controls the charge rate. I intend to investigate that as I will mention later.
2. The socket in question is a 100mm long six point 13mm from Laser tools. Please see attached images for details. In order to give myself a bit more space I removed the lower air compressor mounting bolt on the driver side thinking it might help. I don't think I needed to do that as the ratchet handle never made it around that far.
3. As I sussed when all the bolts were loose the alternator was seized on the locating bushes. In addition when the top bolt was loose I couldn't get my fingers in far enough to grip it and pull it out. Rather than end up with the alternator hanging from a partially removed bolt I decided to make absolutely sure it was free. I worked out I was probably turning the bolt by 1 flat every time so six movements of the ratchet would be one full turn of the bolt. Then I counted the threads on the removed bottom bolts, multiplied by 6 and doubled that figure. This came to 250. I then gave the already loose bolt 250 more "turns" with the ratchet and socket to make sure it was loose.
By the way, the drivers side lower bolt seized in the locating bush so even when it had been turned to the point where it wasn't making any more progress it was still tight and could not be pulled out. I got it out by hooking a long ring spanner over the bolt head and using it to lever the bolt outwards while continuing to "unscrew" it. Believe you me, this was after much penetrating oil was applied and it was tight all the way out right up to the end. No pulling this one out with your fingers!
Final removal of the alternator was achieved using a big long masonry chisel with a hammer, this chisel (designed for chiselling concrete, about 25mm thick and 1 foot long)) was applied to the base of the alternator between the two lower mounting bolt holes. Realising I was going to have to do this is why I went to such lengths to make sure the top bolt was fully unscrewed from it's threads. It took about 20 HARD whacks before the alternator came free. I was on the point of getting out my compressor with an air hammer when it eventually came free. Again, I had to be sure the top bolt was free before I went on to apply this much force. If the alternator had been mounted directly on the engine casing I would never have done this but it was mounted on a thick plate which was in turn bolted to the engine so I was happy to give it everything I had when swinging that hammer.
4. I had already removed the bolts securing the engine to the bottom mount as the videos I had watched and all the comments I had come across said this was necessary as the engine had to be moved to be able to withdraw the alternator fully. This is not the case with my 2011 Twinair. I had already undone the clip securing the aircon hose on the driver side in order to maximise space but I suspect it may have come out without doing this. It just came right out with no hassle at all. I could see the gap was big enough before I even tried.