The answer to your first question is probably "No, not "much" change." with the term "much" still needing to be defined.
Is 1/2 MOA "much"? in several shooting disciplines 0.5 MOA is quite a lot, actually; however actually seeing 1/2 MOA is another topic entirely. and requires good record-keeping.
For instance, in the rifle I'm working-up loads for right now, the average load, everything from 13.0 grains of H. Li'lGun to 18.0 grains (about 50 rounds total, so far, fired in 4 and 5 shot groups) seems to be about 0.8 MOA (thank-you "OnTarget" software for making all the stats possible for me!!)
Once I get the 3-or-4 repeatably best loads using the Federal SR match primer, the LilGun and the 40 grain V-Max and 36 grain VBG, I'll chnge primers to the CCI BR 's and see what (if anything) happens to my proven loads, do they gain or lose velocity and/or accuracy and/or how much POI shift?
I expect that the changes will be subtle; but given the precision possible for the group sizes and the software I'm sure I'll see some changes.
However, if I were working-up loads for my old Mini-14 rifle, where the best load I can ever remember measuring was over 2.0 MOA, I'd need to be very scrupulous indeed, with my record keeping to see any group changes of less than a full 1.0 MOA.
Think of it this way... it's all about the resolution.