Both those companies are in Florida...
If the property you are buying is in California, you may well want to check to ensure that the closing agent you use is licensed to operate and prepare deeds in that state. The process for becoming a closing agent in California is very extensive and costly, so it's important to verify that any closing agent can legally provide the service you need.
Finally, taxes are billed separately in California. If you are not willing to spend the extra money for a records search- understand that there is a real risk that past due taxes may be outstanding. Since the resorts are not involved in the billing or payment of property taxes, unpaid taxes do not result in a lock out of usage. I have found many cases where a seller was unaware that taxes were even due as they believed the annual dues included the taxes (as was the case with their other timeshares). The closing when the seller purchased was not done properly, and the assessor records were not properly updated. The sellers were not intentionally being dishonest, but were simply ignorant.
Searches in those cases saved the buyer hundreds of dollars, and in one instance discovered that the interval was actually scheduled to be auctioned due to the tax liens.
InterCity Escrow (part of Stewart Title) offers a quick search option for closings in this state. It's cheaper than a closing with title insurance, but might give you a little more peace of mind. If you closing agent is affiliated with a California attorney- you should also be able to get some type of seach.
Again- good luck!