I just finished the short campaign 1762-'63 (as Prussia, a good next step after the saxon campaign: fairly short, leaving out the Swedes and no russian front).
I went for the objectives. I attacked Kassel, Saxony and the silesian border fortresses. Athena offered battle at each of them, with significant forces. At the same time she exploited gaps in the frontline (especially in my the center) striking deep, eventually besieging Magdeburg, Braunschweig, Hannover, Frankfurt Oder, Berlin...
I achieved my initial objectives, while Athenas spread out forces, battling my armies and campaigning in my rear, in many cases achieved little. Yet, with all here forces in my rear I basically had to stop most offensive operations and had to use significant forces to heard all them kittens in my rear. At the end I got no further step forward and Athena was besieging Bremen and Stade
Long story short, you can siege fortresses and Athena might offer you battle with significant forces, making (a) look like a viable strategy. But if you allow here at the same time to get into your rear, even if she achieves little, after some initial success it will cost you significant time, effort and resources to catch all here roaming troops and secure your rear. And that might prevent you from making any more progress to achieve your actual objectives...
So with that sample of one stalemate with option (a) I currently lean more toward (b)
(but I had also some 'sub-optimal' battles, losing two corps, that definatly have affected the result; so this is not my final judgement against (a) )
caranorn wrote:... Another army of mine spent much of the season besieging Münster and Lippstadt, the later is likely to fall before Winter (2 breaches, at the first opportunity I will storm), ...
You can already give the order to storm if you need just one more breach. The check for the next breach is done at the begining of the turn and if successful, your troops will storm the fortress that very same turn. And no need to hesitate, Athena does the same
Except if there is a relieve force underway that you might want to meet with a defensive stance...