No, i don't think you should have access to the reel strips for a number of reasons:
1. They are the single most important piece of IP that we own. They are the one thing competitors would love to get their hands on (of successful games of course).
2. Even if you got the reel bands, it would be meaningless unless you had access to the maths in it's entirety, because there may be weighted reels, multiple different sets of reel bands, or a whole host of other things that you would need to know to make sense of things. Maths are rarely simple.
3. You mention you get odds for things, but you have no idea how those odds are worked out - there is still a margin calculated in to odds for anything, otherwise bookies wouldn't make any money.
4. Mack mentioned the max prize odds - this is something we have to do in some jurisdictions, and i have no problem with this, but in games where the theoretical max prize is unknown (Bonanza for example), how would you treat that game?
Some providers do NOT spin through the reel bands that are actually being used in the game - Blueprint i'm pretty certain do this. I don't believe they show the correct reel bands. In online markets it is actually quite hard to do this without downloading all the reel bands to the client, but that then means that they can be sniffed - so providers don't want to do this - and there is no rule that says the reel bands that spin have to be the ones you use. The rules are around the outcome. That said, i think it's quite obvious that the bands that spin should not be misleading.
With regards to reel bands in the free games, i think it's quite obvious to most players that the reel bands in bonus rounds are different to base game reel bands. In most online markets, we have to make it clear that the game is in a different "mode" by writing "BONUS REELS IN PLAY" somewhere, although this is not in all jurisdictions, and doesn't exist online. But most players aren't daft - they know bonus rounds play quite differently to the base games on most games.
And
@mack341 - most games are NOT scratchcards, although some (Jammin Jars) are.