Handyman refusing a job because I asked to be added as additionally insured.

[Gurjot Grewal]

-small job $1300. Gutters, downspout repair, siding etc

-good reviews on angis list, has his company registered as a LLC, referred to me by a local contact

-can provide proof of insurance but will not add me to it as additionally insured. 

Am I being overly cautious? Was it wrong of me to request this for a small job?
He is willing to provide proof of insurance but not willing to add me to it. His reason being if he did this for every private buyer he'd have 1000s on his insurance. He's not comfortable doing this with me yet. Said he has only done this with property management companies, and that no private buyer has ever even requested this from him. 

Is there any alternative solution here or should I find a new handyman ? 

Also if he has his own liability insurance, my home is insured what added benefit does getting me added as additionally insured provide?