Yes, but it's complicated
The Ultimate Equipment Scorpion Whip says, in part:
If you are proficient with both the scorpion whip and whip, you can use a scorpion whip in either the normal way (as a light performance weapon) or as a whip. When you use a scorpion whip as a whip, it is equivalent to a whip, but deals lethal damage and can harm creatures regardless of their armor bonus.
Thus, the whip from Ultimate Equipment is equivalent to a whip (when used a certain way) and that means you can use stuff that requires a whip with it. The one in Adventurer's Armory, however, is entirely its own weapon, the only connection with whips being if you gain proficiciency with a whip you have it in scorpion whips as well. This mean's it's a whip sometimes (since it is, you know, a whip) but not when a mechanic is specifically talking about the individual weapon called 'whip'. Whip Mastery's 'normal' line makes it clear it's talking about the whip weapon, not whip-like weapons in general.
Pathfinder Society used to allow the Ulitimate Equipment scorpion whip with pretty much no fuss at all, but that version is now banned, and requires a rebuild. However, while not an errata, the whip in Adventurer's Armory itself uses different rules for PFS play, which alter it to function similarly to the whip in UE with respect to the quoted passage, though like the AA one otherwise:
Page 4—Change the last sentence of the scorpion whip's description to the following, "If you are proficient with both scorpion whips and whips, you can use a scorpion whip in either the normal way, as a typical light performance weapon, or as a whip. When you use a scorpion whip as a whip, it is otherwise equivalent to a whip, but it deals lethal damage and can harm creatures regardless of their armor bonus."
So, outside PFS yes, as long as you use Ultimate Equipment and not Adventurer's Armory, but inside PFS yes, but you must use Adventurer's Armory instead of Ultimate Equipment.
Within PFS, as long as you use your option to count as a whip and are using the legal scorpion whip, anything that requires or works with/on whips will be fulfilled by or work with/on your scorpion whip, respectively.