Even local courts may have local rules.Generally, legal publication such as "Notice of Petition" to creditors and other potential claimants will not provide you sufficient actionable information to market and merely notifies others that a Decedent's estate is being probated.You can monitor obits and research if decedent owned property.You can use the legal pubs to pull indivisible files at the courthouse as well as those  that did not require legal publication.Alternatively, you can pay a researcher (whom you are likely to find at the courthouse records researching files) and pay them to collect data to your specifications. 

Could you be a creditor claimant?

Residential construction means many potential claimants.

Liability claims are third party claims and do not deal with payments to the insured but rather a third party claimant.

Guess where claimants and their lawyers go after when they break their leg if they fell off a roof?

I'm a bit confused by this part:This document does not affect any of the following: (1) Retentions. (2) Extras for which the claimant has not received payment. (3) The following progress payments for which the claimant has previously given a conditional waiver and release but has not received payment: Date(s) of waiver and release:________________________________________ Amount(s) of unpaid progress payment(s): $_____________________________ (4) Contract rights, including (A) a right based on rescission, abandonment, or breach of contract, and (B) the right to recover compensation for work not compensated by the payment.In my case, does it work?

Escheat ensures that property always has a recognized owner, which would be the state or government if no other claimants to ownership exist.

Another claimant to the land sued him as a “trespasser.”

And as you said, most of the industry disagrees with you about notifying the potential claimants, which makes my point all the more.  

These tax defaults might be strategic attempts by properties owners to clear title of certain lien holders or claimants, but that's only a guess.Maybe we can get my friend @Gursel Demir to chime in as he works the weird tax stuff in NJ