I only started playing about a year ago. When I first saw this card I thought it seemed good. Having more cards means having more options.
Then I did the logical breakdown on the card as to whether it gives you a net gain or a net loss. It costs a card, an action, and 2 resources to gain 3 cards. The cost is higher than the gain, so I thought that it was a waste of space that could be filled with something better... like Laboratory Assistant.
Logically speaking you could just stand still and draw 2 cards and that would pretty much do the same thing in terms of your hand, save you the money, and you would have 2 spaces in your deck for a better card. However that analysis, though true in a void, didn't take the context of the game into account. After playing this card in a couple of decks using a limited card pool, I have a better understanding of when this card is helpful and why.
This card can be good in an opening hand. Investigators start off with resources, but they often don't start off with their important and essential assets like Dr. Milan, so having this card (and/or Laboratory Assistant) in your starting hand helps your deck to get up and running. Let's say your deck has 33-35 cards in it, then using this gives you 20% or higher chance of finding one of the two copies of an essential card. In all fairness, so does Eureka, and that doesn't cost anything, so Eureka is probably the better card. What cards like Eureka (and No Stone Unturned) don't do is thin the deck much. This card thins 10% or more of your deck, and thinning the deck gives you a better chance to find the most important card(s) on every subsequent draw.
Even if you don't find your essential asset on your first action, you have a chance to draw into your second copy of this, Laboratory Assistant or Eureka, so you can have another try at finding it.
The other thing that this card does well, is refilling your hand so that you can use Higher Education. If this were the first card played, you could still play 2 more cards (e.g. Magnifying Glass) and still be able to use Higher Education. Having to use actions to draw cards so that you can use Higher Education never feels good.
After the first round, this card is harder to play because players are often setting up their assets so there is less money to spare. However once a person has some basic assets in play, they can find themselves with some disposable income, and it is always helpful to fill up your hand to have more options and keep Higher Education enabled.
Comparing this card to Laboratory Assistant, Lab Assistant does provide some soak, though I replace them as soon as I find the Ally I need. I find Sketches card can be more reliably played, because Laboratory Assistant needs an ally slot to be played into, so it often can't be played mid or late game. Also plus 3 cards feels a lot better than plus 2 by comparison. Although I like to use both cards, and I think they work well together, especially with the +2 hand size allowance, I find that this card outshines Lab Assistant and if I only had extra space for 2 cards i would choose Sketches.
Comparing this to No Stone Unturned (0) and Eureka, which are comparable, but only half serve the same purpose, because they don't fill up your hand or trim the deck down by much: Those cards don't have the risk of drawing weaknesses, and either are better at finding cards (No Stone) or cheaper (Eureka) to use.
Comparing this card to Cryptic Research - well it has the same effect, but most of the costs are removed. This card is basically Cryptic Research (0) and i say that because I often see people replacing Sketches with Cryptic Research in their deck lists.
With the limited card pool decks e.g. only using cards up to Carcosa, I find myself consistently using 1-2 Laboratory Assistants, 2 Preposterous Sketches, and 2 Eureka if I have space, so that my Seekers can be consistent. No Stone Unturned (0) feels like it wouldn't benefit a seeker deck much unless it had a really important card. If I were to put in a powerful card like Key of Ys into a deck that can use the Seeker card pool, I would quite possibly use 2 copies of as many of the cards mentioned above as I could, so that I would be able to get the Key into play as soon as possible.