someone popped in and asked pretty much the identical question last week. .223 was my first rifle caliber and i knew beforehand about the crimps but had not researched if they were an issue or not or what the solution is. so eager to start loading them up i just decapped and reprimed with a 10-20% failure rate on seating, pretty bad, and to make it worse i think i went this route with my first box of 500 projectiles. that was alot of waste. i wasn't the hip intellectual thread poster that i am today at that time and noticed that i could just take a Phillips head bit and a corded drill and it took the crimps right out with a decent bit of hand pressure put toward the pocket. this was cheap(free) and it worked very well. but danged if it didn't make my hands/wrists sore have to put a bunch of pounds of pressure while holding the heavy corded drill. regardless of the carpal tunnel, i thought i was brilliant, especially after seeing the costs of a decent prep center( i started reloading at the height of the panic and it was strictly a saving money thing, i hadn't a clue that i would end up enjoying that side of the hobby more than the guns themselves). so that's when i hit the forum and shared my successes. little did i know that this was pretty common, it looked as if 40% of members ran a swage , 30% used a hand drill and the others were either using a hand uni-former with a few that were still in the tossing out stage. The ones using a corded drill cracked the issue of strain on the hands though by adding a countersink bit instead of using a wide Philips bit. that made all the difference right there. i could now sit and remove the crimp from a thousand rounds ina couple hours without rushing or breaking a sweat. that's how ive done it for the last four years now and have experienced no ill effects from this method, as dozens of other members that did the same technique also never could find a failure or inconsistency in shooting from just "removing" the crimp. but you decide for yourself what is best in your mind. the case prep centers do more than just de-crimp and are surely worth the cost, one day i'll likely invest in one myself. i will NOT ever go the route of swaging pockets one by one on the press though, don't see a benefit outside the benchrest community. good luck, welcome to loading 5.56, it's still gotta be my favorite rifle caliber to load since there are seemingly endless amounts of bullets/powders that you can work on to chase that little group with and it's affordable because of the insane popularity.
this picture is from when i just usd a phillips bit, best to use a wide one so it doesn't dig down into the flashole. left to right: primed/crimped case, deprimed/crimped case(note the ring), deprimd case after about 3-5 seconds with phillips head to remove crimp, re-primed case ready for loading.
this is a picture after i started using the countersink. practically identical result, but requires only one second each case and little to no pressure. left to right: case with crimp and then two cases with crimp removed with countersink bit and corded hand drill
only you can decide what your most comfortable with and your budget. just throwing out another option, and although it seems a little crude and like your cutting corners, it's actually a very popular method for QUICKLY getting rid of those crimps. it's so fast that crimps don't bother me one bit anymore. have fun
as for your actual question, if you can get a primer in there with not too much effort than it's fine, but you on't know until you primer is likely destroyed, at least some of the times. and different brands are going to give slightly better or worse results (Winchesters seem to have the most malleable cup and easier to squeeze into tight spots). i listed the above advice because it's so fast at LITERALLY one second per round that your not going to likely think twice about which crimps are a go and which are a no-go. you'll just sit and knock out a bucket in relatively short time.
) "sense". 
