At some point in time, yes, you will 😉
My understanding of your a – c dilemma is that by reducing this distance, you effectively steepen both head and seat angles. Typically, IME, this creates, among other things, quicker handling/steering response, which in some cases makes a bike feel less stable at speed, twitchy and requires a more deft touch and body movements. Depends on how you like your bike to feel and respond to you and is a personal thing, despite what the media would sometimes have us believe as being good, bad or indifferent.
In your case, I would suspect that with rigid forks, you will need to re-learn how to ride your bike, for example, turning the bars too quickly to make a rapid turn or line choice, especially over rough ground, and with the body position you have become accustomed to assume, could cause the front wheel to tuck under. Basically a potential OTB’s moment. Which, given a set of unfortunate circumstances, could indeed lead to some, possibly acute physical pain. Death cannot be discounted. 😉
With respect to the G2 aspect, again my understanding of this was to put a marketing line to what most designers aspire towards. IOW, the key dimensions and geometry are combined to provide a pre-determined requirement of how they want the bike to behave. G2 geometry might also include fork offset, which I’m fairly sure is the distance of the axle, or dropouts from the centerline through the forks, or the line created by the head angle. If that makes sense? Measure that or look it up, or ask and that certainly would help maintain the feel and balance of the bike if you also found some rigid forks with a similar a – c.
545mm seems quite long to me, but I’m more used to 425, 445 etc for 26″ and 80 – 100mm travel forks.
I hope that helps.
Or, I may be incorrect on all of the above 😉