A couple of tips, if I may...
1. Same reason you may not want to post the exact domain being inquired about without masking it, next time don't mention the exact company name of the inquirer in a post like this on NP without masking it in some way. They're brand-monitoring and can easily forward this post to whoever would be in charge of making this type of acquisition.
2. In my personal opinion, A million/billion-dollar company should always have at least $xxxx at disposal for a domain name, even if they're going to use it as a "throw-away", short-term, marketing campaign domain. I doubt they're paying their webmasters $250 dollars to develop the domain so why should you accept $250 for the domain itself? Also, take a look at the domain and ask yourself how much time/resources would it take to develop this domain out? If it's a streaming service, they're obviously not going to get it off of the ground with peanuts. Price it accordingly.
3. It's more understandable for company with money to only be willing to spend or offer low-mid $xxx (and mean it) if you're making outbound inquiries because it's likely only a trophy domain to them, but an inbound inquiry means they have a specific plan for it so $xxx should never be accepted without a 4 figure counter.
4. Lowball $xxx offers from these companies can be a negotiation tactic to keep your counter-offer more grounded, while if they were to make an initial $x,xxx offer, it can leave them open to you countering at $xx,xxx or more which is what they don't want and probably won't spend if it's only a small project.
5. This is valuable experience gained and a lesson learned so you should not feel bad about it in an way, you've just made $250 bucks on a name you likely paid $10 for. Now re-invest, buy 10-15 domains from GD Closeouts and turn this one domain sale opportunity you had in your account into 10-15 opportunities for a sale in your account. Grow your portfolio. It's a numbers game.
Remember, At the end of the day, should this sale not even close or the buyer backs out (if it was actually just for him and he was a dreamer), you'll probably be feeling bad about not getting $250! But don't accept that price in the future.
G'luck