First of all, anyone who ever mentions Estibot, Google searches, or similar white noise is immediately suspect. Same with those who use the words Premium or Generic.
That being said, at first glance the name seems to be decent. Part of that is likely do to the horrific names that haunt this section of the forum. However, the name isn't worth as much as most here will intuitively think. Sure, we can play hypothetical games and quite easily imagine a scenario where some big company, who sells toys, would pay you a large sum. But that is similar to imagining a scenario where a decent honest guy without any WOW factor dates a supermodel. In theory it all makes sense, but in reality you have to bring something to the table to grab the big prizes in life. And tens of thousands of dollars is a big prize, especially if the name was hand regged a decade ago (or bought cheap).
Big victories in life, or big profits, usually require big insights or big luck. It is just not enough to be a member of a class (I am a domain name, therefore pay my rent for a year......I am a human being, therefore allow me to date supermodels). The world doesn't work like that. So, what does LearningToys.com bring to the table? Traffic? Zilch. That means it brings zero business. At first glance, it looks to be the type of name that someone could build a business around, but after checking Google, I didn't see any similar names that were the foundation of any high traffic sites.
If you have owned this name for years and have not received an unsolicited offer by email within the last two years of at least $10,000, then I will go out on a limb and suggest that the idea that the name is worth $20,000 is fantasy land talk. I would bet a large amount of money that not a single person on this forum would be willing to offer $10,000 for it right now. So, if the name is truly worth 20K to 50K, then certainly someone here would buy the name for 10K, and then spend a little time contacting people in order to make a nice profit. Even if it took a few years, that would be a nice payday.
I have a feeling that this name has been in the vault for a while, probably making $4 per year in PPC, and playing tricks on your mind. You keep looking at it, and your mind keeps telling you that you have a gem, but nobody is knocking down the doors and emailing you with real money offers. But the imagination runs wild, and you imagine some huge toy company sending your kids to college.
People have gotten lucky with worse names than this. That is what you can hang your hat on. The only way it is worth close to the above appraisal is if someone has contacted you out of the blue within the last year or two and offered you real money. With a name like this, if it was worth big money, people will find you on their own. I mean, it is LearningToys.com, not some oddball combination of words.
If you have a recent serious/legit offer of 10K or if anyone here offers you 10K (and is willing to do the deal now), then I would be shocked, but I would admit that the name is worth a lot more than I think it is.
It is better than 99 percent of the names on this forum, but like most names in people's portfolios, it is worth far far less than what people will admit.