I wouldn't change to synthetic at 3000, but that's me. I DID change my oil with premium dyno at 1000, 3000, 5000, and at 7500 started the synthetic regimen. I am now on schedule with factory recommendations every 7500 miles. I'd never leave dyno in for 7500 miles, but I'm perfectly OK with leaving synthetic in for 7500 miles. My car doesn't use a drop of oil in 7500 miles. So I guess it worked !
I would think, with no scientific evidence, mind you, that 3000 is too soon to be sure that the rings have seated properly. There's absolutely zero risk using dyno for the first 7500 miles, and changing it more frequently than recommended, BUT, in my opinion, there IS a risk to changing to synthetic at 3000 miles. Why chance it ???
In actuality, there;s probably very close to zero risk leaving the original oil in for 7500 miles, and THEN changing to synthetic. Today's oils are far better than the oils of 15 years ago. I like to change all my new car's oil at 1, 3, and 5K just to get any possible machining debris out of the engine, and if you do it yourself, which I do, it's a very minimal investment. I really do think my regimen is excessive, but it sure can't hurt, and it makes me feel good.
REVHIGH !!!!!