I have used magnum primers in my 25-06 before. You would need to back off you load and work up again though just as with any other primer change. Mag primers tend to work in a 25-06 because the 25-06 uses a long column of slow powder, so it is sort of a mini-mag in that way I guess.
You can use the chart below to see how you CCI mag primers compare to whatever standard larh rifle primer you are using.
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Primers are not measured in "burn rate", but by their "Brisance".
Brisance - is a measure of the rapidity with which an explosive develops its maximum pressure
Here are the results of a test done to determine the brisance of primers. The testing was apparently done with a home made ballistic pendulum, which left a lot to be desired. So, don't take this as gospel but as a rough indicator. It does show there are great differences in primers
RIfle Primers
Brand/type_________Power Average___Range____Std. Dev
1... Fed Match GM215M___6.12______ 5.23-6.8_____.351
2... Federal 215 LRM _____5.69______ 5.2-6.5 _____.4437
3... CCI 250 LRM_________5.66______ 4.5-7.4_____ .4832
4... Winchester WLRM____ 5.45______ 5.1-6.0 _____.2046
5... Remington 9 1/2M LR _ 5.09 _____ 3.5-6.75 ____.6641
6... Winchester WLR _____ 4.8 ______ 4.1-6.0 _____.4300
7... Remington 9 1/2 LR __ 4.75 _____ 3.7-6.25 ____.5679
8... Fed Match GM210M __ 4.64 _____4.0-5.6 ____ .3296
9... Federal 210 LR ______ 4.62_____ 3.7-5.5 ____.3997
10.. CCI BR2 ____________4.37_____ 4.0-5.0 ____ .2460
11.. CCI 200 LR __________4.28 ____ 3.8-4.8 ____ .3218
12.. KVB 7 LR Russian_____ 4.27 ____3.8-4.8 ____ .2213
13.. Rem 91/2 (30 yrs old)_ 4.16 ____ 3.8-4.8 ____.3427
Pistol Primers
14 Rem LP ___________4.47_______ 3.2-5.6 _______.5171
15 KVB 45 LP Russian __3.89 _______3.3-4.2 _______ .2232
16 CCI 300 LP________ 3.18_______ 2.7-3.5 _______ .2406
17 Federal 150 LP _____3.11 _______2.6-3.5 _______.2090
18 Fed Match GM150M_ 3.05 _______ 2.6-3.7 ______ .2299