1. The hosting company does not have to act, ever. It just may cause them to be liable.
2. The hosting company can always push back on faulty notices, like this one, with no impact. There is nothing for them to be liable for, as the subject matter is not properly for a DMCA notice, and an invalid DMCA notice imputes no knowledge to them, even if the part that would normally give them notice is valid. This is actually well settled.
1. The hosting company does not have to act, ever. It just may cause them to be liable.
2. The hosting company can always push back on faulty notices, like this one, with no impact. There is nothing for them to be liable for, as the subject matter is not properly for a DMCA notice, and an invalid DMCA notice imputes no knowledge to them, even if the part that would normally give them notice is valid. This is actually well settled.
So, in short, no.