Only If Sources Beyond the Player's Handbook Are Used

Omitted from the online sorcerer description is the following from the Player's Handbook:

[The sorcerer's] new spells can be common spells chosen from the sorcerer/wizard spell list (page 192), or they can be unusual spells that the sorcerer has gained some understanding of by study. For example, a sorcerer with a scroll or spellbook detailing an unusual sorcerer/wizard spell (one not on the sorcerer/wizard spell list in this book) could select that spell as one of his new spells for attaining a new level, provided that it is of the right spell level. (54)

Emphasis mine. Using a very hard reading of the rules as written, if the DM determines the sorcerer can gain "some understanding of [the spell cure light wounds [conj] (PH 215-6)] by study" from the scroll and the spell cure light wounds appears on the Sor/Wiz spell list in another source other than the PH, the sorcerer can add it to his spells known.

As the above is largely campaign-dependent, it needn't be a scroll. The DM determines what exactly the sorcerer can study to gain this understanding (e.g. ancient dragon scales possessing the secrets of weird magic, the corpses of magical minions, the drippings of sacred candles).

I am, however, unfamiliar with a published setting or source that adds cure spells specifically and directly to the Sor/Wiz spell list.

However, another source can totally be the DM's campaign notes. Thus, in a campaign that amends the Sor/Wiz spell list, the sorcerer could, upon understanding the spell via study, select that spell as a new spell when he reaches the next level if the spell's on the Sor/Wiz list at the appropriate level.

The DM should look askance at a player who claims his authorship of another source on a cocktail napkin amends his character's spell list, unless the source is accompanied by an appropriate bribe.

I'd say that the feat grants a Magical Training spell list, not a Sor/Wiz spell list.

When you take the feat, you get to pick 2-3 spells from the Sor/Wiz spell list, and those spells make up your spell list. You need to be an actual Sor/Wiz to gain their spell list.

Likewise, you're only considered a Sor/Wiz with regard to those selected spells, and for nothing else. So I'd say that you don't get to use items that require Sor/Wiz as the classes, but you still pass as an Arcane Spellcaster because those selected spells are arcane.

This is why the feat can pass the Dweomerkeeper's requirement (arcane spellcasting), but not exactly for the wands that you mentioned.