Lola is a 'bad' investigator, and you'll probably either love or hate her depending on what you're looking for. She's made for fun and goofy builds, not power combos.
Without playing her, it can be tough to see how limiting her role restriction is. It seems like it would be fun to build a 'rainbow' deck with cards from every color, but in practice, that's a recipe for disaster. Cards that aren't in your current role are almost blanks, since you can't use any , , or triggers, can't play them as events or assets, and can't commit them to skill tests. The more you spread out your colors, the more likely your cards are to be blanks. Your static boost abilities like the one on Magnifying Glass are always active, but you'd be surprised how much of the good stuff requires you to be in a specific role.
You can (usually) only switch roles once per turn, so most turns you're locked in to using only two colors. This is what prevents Lola from pulling off crazy stuff; you can't perform a combo that uses cards of more than 2 colors. For most cases, there's already another investigator who can play the two colors you're comboing, and they have an additional character bonus. Lola's blessing is also her curse: when she can build the deck of any other investigator, she's going to get compared to every other investigator, and I think there will always be someone else who can do the same thing you're doing, but 'better'.
So why do I still love Lola? Because her deckbuilding options give you so much freedom to do stupid stuff that makes you feel clever for trying it. Lola is absolutely not the best investigator for Key of Ys, but only she can play Dr. Elli Horowitz and No Stone Unturned to help you find the Key, Haste and Swift Reflexes for the free actions, and then finish it off with a Will to Survive for 5 token-less tests at 6, in the stat of your choosing!
Is that combo easy to pull off? Not at all. Is it super powerful? No, you spent a bunch of XP, resources, cards, and actions just for 5 autosuccesses. And heck, I didn't even point out how in order to even use it, you MUST start your turn in the role, then switch to , so you can't even do it in back-to-back turns!
But do you feel awesome when it happens? Hastur yeah.
Don't expect anybody to ever add a review here with a "Gamebreaking Combo for Lola!!!", even as more cards get printed, because that's not what she is about. Instead, I'd recommend picking an off-beat concept you really like (Relics! Tokens! The Encounter Deck!), and then using Lola to put all your favorite cards in one deck.