I submitted a claim to get the water damage restoration process started and replace the burst pipe. 

Oh.. and many people are also confused because they say they have a Lloyds of London flood policy - There are many Lloyds of London and they all have different temperatures for covering flood risk and they all have different underwriting and claims payout.

The challenge is I am not a big enough customer that I feel pushing them in this manner is in my best interest. 

A primary home is one you live in and claim as your home residence. 

If so, what happens when there is a claim as the underlying insurance is under the old owner? 

Assuming you used the TREC / TAR contract form, the seller can claim you've breached the contract and terminate thereby allowing him/her to accept another contract.

You are a paying customer! 

So ... if they're saying they'll sign a quit claim deed, is it also correct to assume that you don't have a title company doing the title work for you then issuing title insurance?

This email claims to be a company based out of the Philippines who works with investors on all kinds of realestate deals.

Only time will tell and my ability to market to my target/niche customers.