To clear things up... Rachmaninoff doesn't roll the opening chords. He plays the bass note of the chord as a grace note, immediately followed by the rest of the chord. So rhythmically it sounds like
b'BUM... bum. b'BUMM... bum. bBUM!... Bum... etc
But Rachmaninoff was known to change his music on a whim. He would play The Prelude (op. 3 no. 2) with different endings, cadenzas, or just about anything which suited him at the moment. One of his recordings of the prelude Op. 23 No. 5 uses dotted rhythms instead of what's written and features extra chords at the end. He makes some cuts in the recording of his third concerto, and despite popular belief, this was probably not due to the shorter recording capacity of records. I believe Rachmaninoff also omits a few chords in his recording of the first concerto, though there's a chance they could've just been lost due to poor recording quality.
It's impossible to play a piece "the same as Rachmaninoff," because the composer himself played differently on different occasions. Thus, one should follow the music, and only make changes based on personal conviction, rather than trying to imitate the way the composer played it.
And although I haven't listened to Earl Wilde's Rachmaninoff, his Tchaikowsky is very, very good.
My favorite recordings of Rachmaninoff's concertos are by Rafael Orozco, who won the Leeds competition around 1967. This set is relatively cheap, and well worth it. I wrote a review of the CDs, so please read it if you're interested in obtaining some quality music.

Here's the amazon link:
https://www.amazon.com/exec/obidos/tg/detail/-/B000004167/ref=cm_rv_thx_view/002-9498034-6700857?%5Fencoding=UTF8&v=glance