You only have to send a counternotice and the content is restored after 10 business days. With most companies, you can just send a properly worded e-mail. Others, like Google, have a web form you fill in. The DMCA never forces content in dispute to remain offline indefinitely even if you have zero resources; the complaining party has to go to court to make that happen.
10 business days could be a long time if your company is in the middle of a launch or other time sensitive period, and that is 10 days after you notice: I assume they won't contact you (how would thy know who to contact and how with any reliability?) to say "we've de-listed these sites, you might want to look into if you need to respond". This could be used to damage competitors, or in this case to accidentally damage random unrelated people/companies.
YouTube got an interesting DMCA takedown request back in the day: it was issued by the Chinese government at the time of the Beijing Olympics. The details escape me but the title of the video was something like "Olympic Gymnastics Beijing" or some other searchbait/clickbait, with a plausible-looking thumbnail, but the video itself was a super-critical video directed at the Chinese government. China issued a bad-faith DMCA takedown on the grounds that they are the only authorized distributors of what the video claimed it was.
IIRC YouTube refused to block the site for this very reason; the "10 days later" would have ruined the clickbait purpose of the video as the event would have been well over and actual legitimate outlets for its content would have sprouted up.
